Law of Sines and Law of Cosines - A Deeper Look

What is the length of side q, given r = 20, s = 30, and Q = 15°? Round the answer to the nearest tenth.

A

Which equation could be used to solve for the length of side c, given a = 5, b = 12, and C = 72°?

A

In below, and . Which of the following combines the two sine ratios into one equation?

A, asinC = csinA

Which equation below is a true statement about ?

A, x = b - acosC

Kyung is building a triangular pool in his backyard. He knows that side f is 12 m and that both angles G and F are 40°, which means that angle D is 100°. What is the length of side d? Round the answer to the nearest tenth.

C, 18.4

Which equation below is a true statement about ?

C, sinA = h/c

What is the length of side c, given a = 10, b = 8, and C = 105°? Round the answer to the nearest tenth.

D

The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle measure are given. What is the measure of angle X? Round the answer to the nearest tenth.

D, 50.5

Which equation is a true statement about below?

D, h^2 = a^2 - x^2

In the proof of the Law of Cosines, the equation was created using the Pythagorean theorem. Which equation is a result of expanding (b-x)^2?

Not D