SPECIAL RIGHT TRIANGLE

EASY

100

In 45-45-90 right triangle what is the value of one leg if the hypotenuse is √2 ?

1

200

The Pythagorean Theorem is _________

a² + b² = c²

300

 The Pythagorean Theorem ONLY works on which triangle? 

Right Triangle

400

Find the length of the hypothenuse of a right triangle if the lengths of the legs are 5cm and 12cm.

13cm

500

If the length of the hypotenuse in a 45-45-90 triangle is 15√ 2  , find the length of one leg.

 

15

AVERAGE

100

In a 30-60-90 triangle, the longest side is ______ the shortest side.

Twice

200

In a 45-45-90 triangle, the hypotenuse is always 2 roots _____ ______ either of the two legs.

Larger than

300

In a 30-60-90 triangle, What is the measurement of longer leg if shorter leg is = 4?

4√3

400

In a 30-60-90 triangle, What is the measurement of the shorter leg if hypotenuse is =12?

6

500

In a 30-60-90 triangle, What is the measurement of hypotenuse side if shorter leg measures 4?

8

DIFFICULT

100

Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45°

4 inches

200

In a 30-60-90 triangle, what is the length of the hypotenuse of a right triangle if the lengths of the other two sides are 4 inches and 4√3 inches?

8 inches

300

In a 30-60-90 triangle, the hypotenuse measures 6cm. What would be the measure of the longer leg?

3√3 cm

400

Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches.

3√2 inches

500

In a 30-60-90 triangle, hypotenuse is = x+3, shorter leg is x. What is the value of x?

3