Solving for Side Lengths of Right Triangles Quiz (100%)

Right triangle ABC is shown. Which equation can be used to solve for c?

A

Which equation can be used to solve for b?

A

What is the approximate value of x? Round to the nearest tenth.

4.6 cm

The equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC. Triangle A B C is shown. Angle A C B is a right angle. The length of side A C is b and the length of hypotenuse A B is 20 centimeters. What is the length of ? Round to the nearest tenth. 11.8 cm 12.9 cm 14.9 cm 15.3 cm

12.9 cm

What is the length of ? Round to the nearest tenth.

14.5 cm

Which equation can be used to solve for c?

B

Which equation can be used to solve for b? Triangle A B C is shown. Angle A C B is 90 degrees and angle C B A is 30 degrees. The length of side B C is 8 feet, the length of B A is c, and the length of C A is b. b = (8)tan(30o) b = StartFraction 8 Over tangent (30 degrees) EndFraction b = (8)sin(30o) b = StartFraction 8 Over sine (30 degrees) EndFraction

b = (8)tan(30o)

What is the length of Line segment A C? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 55 degrees. The length of C B is 15 meters. 10.5 m 12.3 m 18.3 m 21.4 m

10.5 m

Find the length of Line segment A C . Use that length to find the length of Line segment C D . Triangle A B C is shown. A perpendicular bisector is drawn from point A to point C on side B D. Angle A B C is 30 degrees and angle A D C is 25 degrees. The length of A B is 10 centimeters. What is the length of Line segment C D? Round to the nearest tenth. 2.3 cm 4.0 cm 10.7 cm 18.6 cm

10.7 cm

Which equation can be solved to find one of the missing side lengths in the triangle?

D