Question

In a triangle and ab=15cm bc=13cm and ac=14cm. Find the area of triangle and and hence it's altitude on a.c..

Answer 1

Perimeter of the triangle = 15+13+14 = 42cm
Semi-perimeter = 42/2 = 21cm
Area = √21(21-15)(21-13)(21-14) cm² = 84cm²
Now, area of a triangle = 1/2* base*height
Accordingly,
1/2*13*height = 84 (let bc be the base)
height = 12.9 cm