Find the area of triangle ABC?

Question

and also how would you find just AF?

Answer 1

Observe, the figure,

Angle at E is 90⁰ and also angle at F is 90⁰ .

So, assume that, AFBE is either a square (or) a rectangle.

Then, BE = AF = 12          (from the figure)

Area of triangle ABC (A) = (1/2) * base * height

                                       = 1/2 * (BC) * (AF).

Here,

Base (BC) = 15

Height (AF) = 12

Substitute the values of BC = 15 and AF = 12 in A = 1/2 * (BC) * (AF).

Area of triangle ABC = 1/2 * 15 * 12

                                 = 15 * 6

                                 = 90.

Therefore, area of the triangle ABC is 90 square units.