Question

How do you solve the triangle given `A=100^circ, a=125, c=10`?

Answer 1

Use the Law of Sines (and a calculator)

Explanation:

`(sin(/_A))/a=(sin(/_C))/c`

`rarr sin(/_C)=c*(sin(/_A))/a = 10 * sin(100^@)/125~~0.07878462`

`rarr /_C = arcsin(0.07878462) ~~4.518709095^@`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`/_B = 180^@-(/_A+/_C) ~~ 75.48129^@`

`b=a/Sin(/_A) *sin(/_B) ~~122.8749758`