Question

In ΔARST, r = 9.5 cm, ∠T = 123°, and ∠R = 40°. Find the length of s, to the nearest tenth of a centimeter.

a. 8.2 cm
b. 6.3 cm
c. 4.5 cm
d. 3.6 cm

Answer 1

To find the length of side s, you can use the Law of Sines. The approximate length of side s is 6.3 cm.

Step-by-step explanation:

To find the length of side s, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the opposite angle is equal for all three sides. In this case, we have

s / sin(T) = r / sin(R)

Substituting the given values, we get

s / sin(123°) = 9.5 cm / sin(40°)

Solving for s, we find that s ≈ 6.3 cm.