Question

Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.

Answer 1

Here ABC is a right angle triangle because 1 angle is 90°

BY ASP,

90+56+ angle CAB=180

angle CAB=34°

rounded to nearest = 30°

sin A =opp/hyp

sin 30 = 7/x

1/2=7/x

x=14

rounding to nearest 10

14 =10

AB=10

By Pythagoras Theorem,

AB²=BC²+AC²

AC²=AB²-BC²=10² - 7²

100- 49 = 51

AC=root 51