Word Problems
A ladder leans against a wall. The foot of the ladder is 6 ft from the wall and the ladder reaches 8 ft up the wall. Is the ladder length a whole number? Find the ladder length.
10 feet
Find the distance between points (0, 0) and (3, 4).
5
In a right triangle, the hypotenuse is 10 and one leg is 6. Find the missing leg.
8
A right triangle has legs 3 and 4. Find the hypotenuse.
5
The longest side of a right triangle is called the...?
hypotenuse
A rectangular TV screen is 9 in tall and 12 in wide. What is the diagonal length of the screen to the nearest tenth of an inch?
15 inches
Find the distance between (−2, 1) and (2, 5).
5.7
Right triangle with hypotenuse 13 and one leg 5. Find the other leg.
12
The legs of a right triangle are 7 and 24. Find hypotenuse.
25
The formula used for the Pythagorean Theorem is:
a2 + b2 = c2
A baseball diamond is a square with 90-ft sides. What is the distance a runner travels in a straight line from home plate to second base? Round to nearest tenth.
127.3 feet
Two towns are at coordinates (−3, 4) and (5, −2). How far apart are they? Give exact and decimal to one decimal.
10
A right triangle has hypotenuse 17 and one leg 8. Find the other leg.
15
In a right triangle, the legs are 9 and 12. Find hypotenuse.
15
Sides a and b are called the:
Legs
A kite string forms a right triangle with the ground. The kite is 50 ft above ground and the person holding the string is 30 ft away horizontally. How long is the string? Give exact simplified radical and decimal approx to one decimal.
58.3 feet
A point A is at (1, −1) and point B is at (7, 8). Find the distance AB to nearest tenth.
10.8
In a right triangle, the hypotenuse is 29 and one leg is 21. Find the other leg.
20
A right triangle has legs of lengths 11 and 60. Find the length of the hypotenuse.
61
What operation is used when given the hypotenuse and a leg?
A rectangular garden has diagonal 25 m and one side 7 m. If the garden area is an integer, find the other side and area. (Find integer side length that makes the other side integer.)
24 meters squared
Find the distance between (−5, 2) and (4, −11). Give exact simplified radical and decimal to one decimal.
15.8
The legs of a right triangle is 12 and the hypotenuse is 19. What is the length of the other leg? Round to the nearest tenth.
14.7
The legs of a right triangle are 2 and 5. What is the length of the hypotenuse? Round to the nearest tenth.
5.4
What is the Pythagorean Theorem used for?
Finding missing sides lengths of right triangles