Pythagorean Theorem

Pythagorean Theorem Part 2

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

Fill in the Blanks

Solve: x² = 11

(if necessary, round to the nearest tenth)

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

Find the measure of the missing side.

(round to the nearest tenth if necessary)

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