Geometry: Module 7 Review

Which of the following could be the measures of the sides of a right triangle?

• √3, √5, √7

• √2, √4, √8

• 5, 10, 12

• 7, 24, 25

During a storm, a tree breaks 8 feet above the ground and falls to form a right triangle.

(HINT: Use Pythagorean Theorem)

If the top of the tree rests 23 feet from the base, approximately how tall was the tree before the storm?

• 24 feet

• 27 feet

• 32 feet

• 30 feet

In  ΔABC, BC = 12, the longest side of the triangle. (Blank options: right, acute, obtuse)

If AB² + AC² < 144, then ΔABC is ______________.

In  ΔABC, BC = 12, the longest side of the triangle. (Blank options: right, acute, obtuse)

If AB² + AC² = 144, then ΔABC is ______________.

In  ΔABC, BC = 12, the longest side of the triangle. (Blank options: right, acute, obtuse)

If AB² + AC² > 144, then ΔABC is ______________.

What are the values of x and y?

(HINT: Use special right triangles.)

• x = 2√6, y = 3√2

• x = 3√2, y = 2√6

• x = 2√2, y = √3

• x = √3, y = 2√2

Find the exact value of x.

(HINT: Use special right triangles.)

• 2√10

• 10√2

• 20

• 10√10

Which trigonometric ratios have a value of 23/27

• Sin A

• Sin B

• Cos A

• Cos B

• Tan B

Find the value of x. Round to the nearest hundredth.

Find the value of x. Round to the nearest hundredth.