Question

How do you solve for the unknown lengths and angle measures of triangle ABC where angle C = 90 degrees, a = 24 and b = 5?

Answer 1

I found:
Hypotenuse`=24.5`
Two angles of `11.77°` and `78.23°`

Explanation:

Considering:

Using Pythagoras Theorem:
`c^2=24^2+5^2`
`c=sqrt(576+25)=24.5`

From trigonometry:
`b/a=tan(B)`
`B=arctan(5/24)=11.77°`

`a/b=tan(A)`
`A=arctan(24/5)=78.23°`