Geometry | Unit 4 | Lesson 4: Ratios in Right Triangles | Practice Problems

Priya says, “I know everything about a right triangle with a 30 degree angle and a hypotenuse with length 1 cm. Here, look.“ The other angle is 60 degrees. The leg adjacent to the 30 degree angle is 0.866 cm long. The side opposite the 30 degree angle is 0.5 cm long. Han asks, “What would happen if a right triangle with a 30 degree angle has a hypotenuse that is 2 cm instead?“ Help them find the missing angles and side lengths in the new triangle. Explain or show your reasoning.

An equilateral triangle has side length 8 units. What is the area?

• 24 square units

• 32 square units

What is the length of the square’s side?

• 3 units

• 12 units

• The angle would decrease.

• The angle would increase.

• The angle would stay the same.

• We cannot determine anything about the angle.