Question

How do you solve the triangle given `triangleRST, r=15, s=18, mangleT=90`?

Answer 1

`color(red)(t = 23.43, hat R = 39.8^@, hat S = 50.2^@`

Explanation:

`color(blue)(r = 15, s = 18, hat T = 90^@`

It’s a right triangle.

Applying Pythagoras theorem,

`t = sqrt(r^2 + s^2) = sqrt(15^2 + 18^2) = 23.43`

`hat R = sin ^-1 (r / t) = sin^-1 (15/24.43) = 39.8^@`

`hat S = cos ^-1 (15/24.43) = 50.2^@`