Pythagorean TheoremTest Review

We use the Pythagorean Theorem to find the missing side of a _________________________.

The longest side of a right triangle is called the _______________________________, and the other two sides are called _________.

Determine if the given measurements would create a right triangle?

15, 20, 25

Yes or No

Cathy is making a banner for the choir club. She is drawing a right triangle on fabric. The two sides that form the right angle measure 5 feet and 12 feet. What is the length of the longest side?

Find the length of to the nearest inch.

𝑵

𝟏𝟏𝒊𝒏 .

𝑷

A 15-foot ladder’s base is 9 feet from the wall of a building. How many feet above the ground does the top of the ladder touch the building?

A) 11 ft. C) 18 ft.B) 12 ft. D) 24 ft.

Kelly bicycled 4 kilometers due east from her house to Rachel’s house. Then Kelly bicycled 3 kilometers due south from Rachel’s house to Marty’s house. What is the shortest distance from Marty’s house back to Kelly’s house? Hint: Draw a picture.

Mr. Naylor just bought a TV set. The screen of the TV is 48 in. long and 27 in. high. Find the length of the diagonal. Round to the nearest inch.

An 18-foot ladder is leaned against a wall. If the base of the ladder is 7 feet from the wall, how high up on the wall does the ladder reach? Round to the nearest tenth of an foot.

The lawn in front of Whitney Middle School is in the shape of a rectangle 30 yd long and 16 yd wide. How much shorter is your walk if you walk diagonally across the lawn rather than along the two sides of it?

A tree is struck by lightning and breaks at a point 12 feet above the ground. The top of the tree lands on the ground 39 feet from the base. What is the height of the tree to the nearest tenth of a foot? HINT: Draw a picture

Dylan has a square piece of metal that measures 10 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse to the nearest tenth of an inch?

A blueprint for a new triangular playground shows that the sides measure 480 feet, 140 feet, and 500 feet. Is the playground in the shape of a right triangle?

The marketing team at a new electronics company is designing a logo that contains a circle and a triangle. On one design, the triangle’s side lengths are 2.5 in., 6.5 in., and 6 in. Is the triangle a right triangle?