MATH SOLVE

4 months ago

Q:
# Solve PQRInclude all relevant calculations, please. I'm trying to make sure I understand what I did wrong.

Accepted Solution

A:

Answer:r = 15.9 m∠P = 63.27°∠Q = 26.73°∠R = 90°Step-by-step explanation:"Solving a triangle" means to find all 3 side lengths, and find all 3 angle measues.To find r, use Pythagorean theorem (since it's a right triangle) (7.15)² + (14.2)² = r² 51.225 + 201.64 = r² 252.865 = r² 15.9 = r (take the square root of both sides)To find angle P, use Tan inverse. (We have the side opposite and adjacent to the angle). Tan x = opposit/adjacent so we have Tan^-1 P = 14.2/7.15 P = 63.27 We have angle R = 90°, so angle Q is Q = 180 - R - P Q = 180 - 90 - 63.27 Q = 26.73°