Question

How do you determine the number of possible triangles and find the measure of the three angles given `BC=12, AC=12sqrt2, mangleB=135`?

Answer 1

`135^@,30^@,15^@`

Explanation:

Given that `angleABC` is obtuse, and `AC>BC`, one such triangle exists.

Given `angleABC=135^@, AC=12sqrt2, and BC=12`,

`=> sinx/12=sin135/(12sqrt2)=1/24`
`=> sinx=12/24=1/2`
`=> x=sin^-1(1/2)=30^@`
`y=180-135-30=15^@`