# Pythagorean Theorem Word Problems

Many students find pythagorean theorem word problems difficult. At TuLyn, we created word problems on pythagorean theorem to help you better understand pythagorean theorem.

### Hypotenuse Word Problems

Practice hypotenuse word problems.

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Below is the list of all word problems we have on pythagorean theorem.

# Pythagorean Theorem Word Problems

• A 10 meter ladder is leaning (#759)
A 10 meter ladder is leaning aganist a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ...
geometric proofs, pythagorean theorem, triangles, right triangles, polygons, shapes, plane figures, curves
• A 20-ft ladder is leaning against a wall (#2485)
A 20-ft ladder is leaning against a wall. If the ladder is 12 ft from the base of the ...
pythagorean theorem, right triangles, triangles, polygons, shapes, plane figures, curves
• A 32 foot ramp connects a platform with a sidewalk (#2504)
A 32 foot ramp connects a platform with a sidewalk that is at ground level. if the platforn is 6 feet above ground ...
triangles, curves, radicals, numbers, number sense, right triangles, pythagorean theorem, plane figures, shapes, polygons
• A 7m ladder against the wall of a building (#1139)
A 7m ladder against the wall of a building and its foot is 2m from the base of the ...
plane figures, shapes, polygons, triangles, pythagorean theorem, right triangles, curves
• A dog pen is in the shape of a right triangle (#2653)
A dog pen is in the shape of a right triangle. The longer leg measures 15 feet. The hypotenuse is 7 feet shorter than three times the length of the shorter ...
pythagorean theorem, right triangles, triangles, polygons, shapes, plane figures, curves
• A guy wire reaches from the top (#2005)
A guy wire reaches from the top of a 39.32 ft pole to a point on the ground 15' from the ...
pythagorean theorem, radicals, triangles, number sense, numbers, polygons, shapes, right triangles, plane figures, curves
• A ladder 39 feet long leans against a building (#1419)
A ladder 39 feet long leans against a building and reaches the ledge of a window. If the foot of the ladder is 15 feet from the foot of the ...
trigonometric functions, cosine, right triangles, pythagorean theorem, triangles, polygons, shapes, plane figures, curves, functions
• A ladder 39 feet long leans against a building (#2869)
A ladder 39 feet long leans against a building and reaches the ledge of a window. If the foot of the ladder is 15 from the foot of the ...
right triangles, pythagorean theorem, triangles, curves, plane figures, shapes, polygons
• A ladder reaches a height of 64 feet on a wall (#3530)
A ladder reaches a height of 64 feet on a wall. if the bottom of the ladder is placed 4 feet away from the ...
pythagorean theorem, right triangles, curves, shapes, triangles, polygons, plane figures
• A man on a 135-ft vertical cliff looks down (#2873)
A man on a 135-ft vertical cliff looks down at an angle of 16 degrees and sees his friend. How far away is the man from his ...
pythagorean theorem, sohcahtoa, trigonometric functions, trigonometric identities, right triangles, plane figures, triangles, curves, shapes, polygons, functions, identities
• A ski resort is installing tows (#2364)
A ski resort is installing tows on its new ski runs. One hill has a vertical height of 500m and is inclined at 42 ...
curves, shapes, right triangles, pythagorean theorem, polygons, plane figures, triangles
• At noon, ship A is 150 km west of ship B (#1136)
At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h, How fast is the distance between the ships changing at 4:00 P.M.?
triangles, right triangles, pythagorean theorem, polygons, shapes, plane figures, curves
• From a point 12 m from the base of a flagpole (#2655)
From a point 12 m from the base of a flagpole the angle of elevation to the top of the pole is 42 ...
angle, measuring angles, pythagorean theorem, right triangles, triangles, curves, plane figures, shapes, polygons
• How far up a wall (#3143)
How far up a wall will a 10-meter ladder ...
curves, shapes, polygons, plane figures, triangles, right triangles, pythagorean theorem
• How far up a wall will an 11m ladder reach (#1000)
How far up a wall will an 11m ladder ...
pythagorean theorem, right triangles, triangles, polygons, shapes, plane figures, curves
• Hypotenuse (#4763)
The length of one leg of a right triangle is 12 meters.  The length of the hypotenuse is 8 meters longer than the other ...
hypotenuse, right triangles, pythagorean theorem, triangles, polygons, shapes, plane figures, curves
• Hypotenuse (#8587)
1. find the hypotenuse of a right triangle with sides 5 inches and 10 inches
hypotenuse, right triangles, pythagorean theorem, triangles, polygons, shapes, plane figures, curves
• Hypotenuse (#9120)
one leg of a right triangle is 9 feet less than the hypotenuse, while the other is 2 feet less than the ...
hypotenuse, right triangles, pythagorean theorem, triangles, polygons, shapes, plane figures, curves
• Hypotenuse (#9877)
Find the length of the ladder that stands 12ft away from a wall and touches the wall 16ft high?
hypotenuse, right triangles, pythagorean theorem, triangles, polygons, shapes, plane figures, curves
• Hypotenuse (#10494)
the hypotenuse if a right triangle is 15cm. The other two sides have a total length of 21...
hypotenuse, right triangles, pythagorean theorem, triangles, polygons, shapes, plane figures, curves
• If a ladder is leaning against a building (#2714)
If a ladder is leaning against a building, and the distance from the bottom of the ladder to the building is 8 ft. less than the length of the ladder, how high up the side of the building is the top of the ladder if the distance is 1 ...
right triangles, solving algebraic equations, pythagorean theorem, triangles, polygons, shapes, curves, plane figures, algebraic equations, solving equations, equations
• If one leg of a right triangle is 8 inches long (#2360)
If one leg of a right triangle is 8 inches long, and the other leg is 12 inches ...
triangles, polygons, plane figures, shapes, pythagorean theorem, right triangles, curves
• John leaves school to go home (#1652)
John leaves school to go home. He walks 100 blocks North and then 820 blocks ...
triangles, pythagorean theorem, right triangles, polygons, shapes, plane figures, curves
• Pythagorean Theorem (#3724)
a 24 foot ladder, leaning against a house, reaches the bottom of a window that is 20 feet above the ground. To the nearest ...
plane figures, shapes, pythagorean theorem, right triangles, polygons, triangles, curves
• Pythagorean Theorem (#6327)
find the value of n in each ...
pythagorean theorem, right triangles, triangles, polygons, shapes, plane figures, curves
• Pythagorean Theorem (#9423)
the hypotenuse of a right triangle is 24 ft. long. the length of one leg is 20ft more than the other. FInd the lengths of the legs
pythagorean theorem, right triangles, triangles, polygons, shapes, plane figures, curves
• The base of an 8-foot ladder (#619)
The base of an 8-foot ladder is placed 2 feet away from a ...
pythagorean theorem, triangles, right triangles, polygons, shapes, plane figures, curves
• The hypotenuse of a right triangle (#169)
The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less that the longer ...
hypotenuse, right triangles, triangles, polygons, shapes, plane figures, curves, pythagorean theorem
• The hypotenuse of a right triangle (#196)
The hypotenuse of a right triangle is twice as long as one of the legs and 10 inches longer than the ...
hypotenuse, right triangles, triangles, polygons, shapes, plane figures, curves, pythagorean theorem
• The hypotenuse of a right triangle (#934)
The hypotenuse of a right triangle is twice as long as one of the legs and 8 inches longer than the ...
plane figures, hypotenuse, right triangles, shapes, triangles, polygons, curves, pythagorean theorem
• The legs of a right triangle (#2651)
The legs of a right triangle are 5 and 7 centimeters long, respectively. What is the length of the hypotenuse? If ...
plane figures, right triangles, pythagorean theorem, curves, shapes, polygons, triangles
• The legs of a right triangle are 12 inches and 8 inches (#2037)
The legs of a right triangle are 12 inches and 8 ...
right triangles, plane figures, triangles, shapes, curves, hypotenuse, polygons, pythagorean theorem
• The length of the hypotenuse of a right triangle (#1267)
The length of the hypotenuse of a right triangle is three times the length of one of the legs. The length of the other leg is the square root of 72...
plane figures, shapes, polygons, triangles, curves, pythagorean theorem, right triangles
• The mainsail of a lightning sailboat (#2883)
The mainsail of a lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24 ft tall mainsail has a leech length of 26ft and if Dacron sailcloth casts \$10 per square ...
polynomials, pythagorean theorem, area, right triangles, shapes, triangles, plane figures, curves, polygons
• The right angle of the triangle (#2489)
The right angle of the triangle is 1808 feet the slope is 25,2 ...
pythagorean theorem, right triangles, trigonometric functions, plane figures, shapes, polygons, curves, triangles, functions
• The sum of the sides of a right triangle (#2660)
The sum of the sides of a right triangle is 49cm and the hypotenuse is 41...
right triangles, triangles, polygons, shapes, plane figures, curves, pythagorean theorem
• To place a 13-foot ramp against the side of a house (#2452)
To place a 13-foot ramp against the side of a house so the ramp rest on a ledge that is 5 feet above the ...
triangles, pythagorean theorem, curves, plane figures, shapes, right triangles, polygons
• Two ships leave port at same time (#996)
Two ships leave port at same time. Ship x is heading due north and ship y is heading due east. Twelve hours later they are 600 miles apart. If the ship x had traveled 480 miles from the ...
pythagorean theorem, right triangles, triangles, polygons, shapes, plane figures, curves

### Right Triangles Word Problems

Find word problems and solutions on right triangles.