Pythagorean Thm and Special Right Triangles Test Review

Pythagorean Theorem and Special Right Triangles

Test Review

Geometry CP

Learning Objectives

• I can use the Pythagorean theorem

• I can classify triangles using the converse of the Pythagorean theorem

• I can find missing side lengths of special right triangles​

Multiple Choice

What is the hypotenuse of this triangle?

• 8

• 15

• 17

• a

Pythagorean Theorem

a²+b²=c²

Where a and b are the legs of the triangle, and c is the hypotenuse.​

Example)

Fill in the Blank

Find the missing side. Round to 2 decimal places.

Fill in the Blank

Find the missing side. Round to 2 decimal places.

What is the first step when solving these problems???

a²+b² > c² -> Acute

​a²+b² = c² -> Right

a²+b² < c² -> Obtuse

Converse of Pythagorean Theorem

Classify the triangle with the side lengths 7, 9, and 14.

Converse of Pythagorean Theorem

Example​

Multiple Choice

Classify the triangle with side lengths 5, 13, and 16.

• Acute

• Right

• Obtuse

• Not a triangle

Multiple Choice

Classify the triangle with side lengths 6, 11, and 19.

• Acute

• Right

• Obtuse

• Not a triangle

Has side ratios of x : x√3 : 2x

30-60-90

Has side ratios of x : x : x√2

45-45-90

SPECIAL RIGHT TRIANGLES

SPECIAL RIGHT TRIANGLES Examples

Rationalizing the Denominator

Fill in the Blank

What is the length of side AB?

Fill in the Blank

Find y