Pythagorean Review

Front

What is the side of a right triangle across from the right angle called?

Back

Hypotenuse

Front

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Back

27 feet

Front

If a triangle has sides 9, 12, and 15, is it a right triangle?

Back

Yes

Front

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

Back

12 cm

Front

What is the length of the diagonal of a rectangle with sides 8 cm and 15 cm?

Back

17 cm

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

What are the legs of a right triangle?

Back

The two sides that form the right angle.

Front

How do you determine if a triangle is a right triangle using side lengths?

Back

Use the Pythagorean theorem: if a² + b² = c², then the triangle is a right triangle.

Front

What is the perimeter of a right triangle with legs of 5 cm and 12 cm?

Back

30 cm (5 + 12 + 13).

Front

What is the area of a right triangle with a base of 6 cm and a height of 8 cm?

Back

24 cm² (Area = 1/2 * base * height).