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


Solve the right triangle. Round decimal answers to the nearest tenth. ​-example-1
User Hidralisk
by
7.8k points

1 Answer

1 vote

Answer:

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

User Deepam Gupta
by
7.9k points

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