Question

calculate the area of triangle with sides 8 cm 15 cm and 17 cm

Answer 1

Solutions :-


There are three sides in a triangle.

Suppose side
a = 8 cm
b = 15 cm
c = 17 cm


Semi perimeter (S) = (a+b+c)/2 unit
= (8+15+17)/2 cm
= 20 cm


Now,
BY heron's formula,
Area of triangle = √{s(s-a) (s-b) (s-c)} square unit
= √{20(20-8) (20-15) (20-17)} cm²
= √{20×12×5×3} cm²
= √3600 cm²
= 60 cm²


Hence,
Area of triangle is 60 cm²