Question

Solve the right triangle. Round decimal answers to the nearest tenth.
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Answer 1

AB = 15

A = 53º

B = 37º

Explanation:

To find AB you can use pythagoream's theorem.

`c^2=a^2+b^2\\c=√(a^2+b^2)`

`c=√((9)^2+(12)^2) \\c=√(81+144)\\ c=√(225)\\ c=15`

To find the angle A, use sine

`sin=(opposite)/(hypothenuse)`

`sin=(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