#8 what is the length of missing side QR? Round answer to the nearest tenth.

Step-by-step explanation:

Since we know the two sides and one angle, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

QR² = RS² + QS² - 2(RS × QS)CosS

QR² = 40² + 35² - 2(40 × 35)Cos34

QR² = 1600 + 1225 - 2(1400)Cos34

QR² = 2825 - 2321.2

QR² = 503.8

QR = √503.8

QR = 22.4

i believe it's a.

i'm not sure on this one, most likely correct.