Pythagorean Theorem
45-45-90
30-60-90
100

Determine the length of the missing side of the right triangle.

25 cm

100

If one leg of a 45-45-90 measures 10 inches, how long is the other leg? 

10 inches

100

How do I find the missing hypotenuse of a 30-60-90 triangle if I know the short leg?

Multiply it by 2

200

If the hypotenuse of a right triangle =20 feet and a leg length =14 feet, determine the length of the other leg. Simplify the radical. 

2√51 feet

200

What do you multiply the short leg by to get the hypotenuse in a 45-45-90 triangle? 

*Hint*- draw a triangle and label the sides of a 45-45-90 triangle!

the √2

200

How do I find the long leg of a 30-60-90 triangle if I know the short leg?

Multiply it by the √3

300

Find the missing side of this right triangle using Pythagorean Theorem. Simplify the radical. 


2√13 cm

300

What is the short leg of a 45-45-90 triangle if the hypotenuse is 10√2?

10

300

What is the measure of the missing sides

7 in. and 

7\sqrt{3}

400

A triangle has the following side lengths. Classify as acute, obtuse or right. Show your work.

14, 48, 50

Right

2500=2500

400

What is the length of c and d?

6√2 and 12

400

Find both missing sides in simplest radical form

\frac{8\sqrt{3}}{3}

\frac{16\sqrt{3}}{3}

500

A triangle has the following side lengths. Classify as acute, obtuse or right. Show your work.

\sqrt{67}, 4, 9

Acute

83>81

500

Find the length of x in simplest radical form

 

\sqrt{14}/2

500

Find the missing sides

8\sqrt{3} and 12

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