Bluebook SAT Test Geometry and Trigonometry 2

Question 1

An isosceles triangle has two equal sides of length 9 and a base of 6. What is its perimeter?

Accepted Answer

24

Answer

Perimeter = 9 + 9 + 6 = 24.

Question 2

In a right triangle, tan(30°) = ?

Accepted Answer

1/√3

Answer

tan(30°) = sin(30°)/cos(30°) = (1/2)/(√3/2) = 1/√3.

Question 3

A right triangle has a hypotenuse of 13 and one leg of 5. What is the other leg?

Accepted Answer

12

Answer

a² + 5² = 13² → a² = 169 − 25 = 144 → a = 12.

Question 4

What is the area of a triangle with base 10 and height 8?

Accepted Answer

40

Answer

Area = (1/2) × base × height = (1/2)(10)(8) = 40.

Question 5

Two supplementary angles are in a ratio of 2:3. What is the measure of the larger angle?

Accepted Answer

108°

Answer

Supplementary angles sum to 180°. Larger angle = (3/5) × 180° = 108°.

Bluebook SAT Practice Test Practice Test