Pythagorean Theorem
36
Find the perimeter of the triangle.
about 10.6
Find the value of x.
about 14.3
Find the value of x.
about 15.8
Find the value of x.
about 18.9
Find the value of x.
about 8.3
Find the value of x.
8
Given that the hypotenuse of a right triangle is 10 cm and one leg measures 6 cm, what is the length of the other leg?
22
One leg of a right triangle measures 14 cm long, and the hypotenuse is 26 cm long. What is the approximate length of the missing leg?
6
Peter regularly takes a short-cut across Mr. Henry's lawn instead of walking on the sidewalk (8 m by 15 m) on his way home from school. How many meters is saved by Joe cutting across the lawn?
"a squared plus b squared equals c squared"
Pythagorean's Theorem states that _____________________.
54
Television sizes are measured on the diagonal. Tom's television has a length of 45 inches and a width of 30 inches. What is the diagonal measurement of Tom's television, to the nearest inch?
20
The diagonal of a rectangle is 25 cm. The width is 15 cm. What is the length?
15
The legs of a right triangle are 13 inches and 7 inches. To the nearest inch, what is the hypotenuse?
13
The legs of a right triangle measure 5 and 12 mm. What is the length of the other side length?
about 11.5
The length of a rectangle is 8 cm. Its diagonal measures 14 cm. What is its width?
32.9
A 35 foot ladder is leaned against a wall. If the base of the ladder is 12 feet from the wall, how many feet high will the ladder reach?
about 113.1
A baseball diamond is a square with sides of 80 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
52
A ladder leans against a building. The base of a ladder is 20 feet from the building. The building's height is 48 feet. How long is the ladder?
24 cm
A right triangle has a leg that measures 10 m. Its hypotenuse is 26 m. What is the length of the missing leg?
17
A right triangle has legs that measure 8 cm and 15 cm. What is the length of the third side?
27.2
A suitcase measures 22 inches long and 16 inches high. What is the diagonal length of the suitcase to the nearest tenth of a foot?
about 16.6
An 18 ft string is tied to the top of a pole and pulled to the ground 7ft away from the pole. How tall is the pole?
No
Could the side lengths of a right triangle measure: 13 in., 14 in., and 15 in.?
Yes
Could the side lengths of a right triangle measure: 18 in., 24 in., and 30 in.?
Hypotenuse
The longest side of a right triangle.
25
The shortest side lengths of a right triangle measure 14 cm and 21 cm. What would be the measure of the hypotenuse (nearest whole number)?
Pythagorean Triple
The term used for when the three sides of a right triangle are all whole numbers.
30
The top of a tree to the top of its shadow is 50 feet. The shadow itself is 40 feet long. How tall is the tree?
26
The two shortest lengths of a right triangle measures 10 and 24. What is the length of the missing side length?
Legs
The two sides that make up the 90 degrees of a right triangle.
about 15.2
Two snails being at the same place in the garden. One snail travels six cm north. Another travels fourteen cm west. How far apart will they be?
32
a = 24cm and c = 40cm. Using Pythagorean Theorem, what is the measure of the missing side length?
