Question

Solve the right triangle. Round decimal answers to the nearest tenth.​

Answer 1

Answer:

AB = 15

A = 53º

B = 37º

Step-by-step explanation:

To find AB you can use pythagoream's theorem.

$c^2=a^2+b^2\\c=\sqrt{a^2+b^2}$

$c=\sqrt{(9)^2+(12)^2} \\c=\sqrt{81+144}\\ c=\sqrt{225}\\ c=15$

To find the angle A, use sine

$sin=\frac{opposite}{hypothenuse}$

$sin=\frac{12}{15}\\ sin^-^1=53$

To find B, remember that all of the angles of a triangle add up to 180º. If you already have 90º + 53º + x =180º

143º+x=180º

Subtract 143

x=180º-143º

x=37º