Applying the Pythagorean theorem

Calculate the length of b in this triangle.

• 31

• 36

• 60

• 62

If leg a of a triangle was 8 and leg b was 6, what would be the hypotenuse?

Find the missing side

• 26

• 27

• 28

• 29

• 30

Calculate the length of the hypotenuse in a right triangle with legs of 5 and 12 units.

• 13

• 17

• 10

• 15

If a right triangle has the following angle measures, what is the length of the hypotenuse?

a = 8 & b = 15

• 12

• 16

• 17

• 18

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?

Which diagram best represents the problem?

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Find the value of m.

• 10

• 10√2

• 20√2

• √2

Level 2

Solve for the value of y

• 13

• 5

• 23

• 10

Find the missing side of each triangle. Leave your answers in simplest radical form.

•  $\sqrt{14}$ mi

•  $3\sqrt{2}$ mi

•  $0$ mi

•  $3\sqrt{3}$ mi

What is the distance between A and C?

• 10.9
• 13
• 7
• 17