Question

A triangle has sides A, B, and C. If the angle between sides A and B is `(pi)/4`, the angle between sides B and C is `(pi)/2`, and the length of B is 10, what is the area of the triangle?

Answer 1

`"Area"_(triangle"ABC") = 50 "sq.units"`

Explanation:

From the given information we can deduce that the angle between A and C is `pi/4`
and therefore `triangle"ABC"` is an isosceles, right-angled triangle with `abs(B) = abs(C)=10` and `B_|_ C`

Using `B` as the base and `C` as the height
`color(white)("XXX")Area_triangle = 1/2*B*C = 1/2*10*10=50`