Question

Please help

In Δ FTP , side f =24, m < F= 17* and m < P = 72*. Find side p to the nearest tenth of an integer.

Answer 1

78.1

Explanation:

p/sinP = f/sinF

p/sin(72) = 24/sin(17)

p = sin(72) × 24/sin(17)

p = 78.06964909

Answer 2

Explanation:

Considering the given triangle FTP, to determine side p, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

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

f/SinF = p/SinP = t/SinT

Therefore

24/Sin 17 = p/Sin 72

Cross multiplying, it becomes

pSin17 = 24Sin72

0.292p = 24 × 0.951

0.292p = 22.824

p = 22.824/0.292

p = 78.2