Question

triangle RST with vrrtices R(6,2) S(9,9) and T(3,7) is drawn inside a triangle. what is the area in square units of RST

Answer 1

1. We compute side a from coordinates using the Pythagorean theorem

2. We compute side b from coordinates using the Pythagorean theorem

3. We compute side c from coordinates using the Pythagorean theorem

Sides: a = 6.325   b = 5.831   c = 7.616

6. The triangle area using Heron's formula

Area: T = 18