Pythagorean Theorem

Pythagorean Theorem Part 2

Objective: Find the missing side in right triangles using the Pythagorean Theorem.

Right Triangle

A triangle with ONE RIGHT ANGLE

Either has a box or says 90°

Parts of a Right Triangle

LEGS: the sides that create 90° angle.

Parts of a Right Triangle

HYPOTENUSE: the side opposite the 90° angle

Multiple Select

Which sides represent the legs?

• W

• X

• Y

Multiple Select

Which side represents the hypotenuse?

• R

• S

• T

Pythagorean Theorem

In a right triangle, the sum of the squares of the lengths of the legs (a and b) is equal to the square of the length of the hypotenuse (c).

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FORMULA

a² + b² = c²

Pythagorean Theorem Example

FORMULA

a² + b² = c²

4² +3² = 5²

16 + 9 = 25

25 = 25

​EXAMPLE

​Find the missing side.

Multiple Choice

Find the measure of the missing side.

(round to the nearest tenth if necessary)

• 9

• 3

• 6.4

• 6.5

• 41

Fill in the Blanks

Math Response

Find the measure of the missing side.

(round to the nearest tenth if necessary)

Type answer here

Correct Answer: 11.7

Deg^°

Rad