Question

Q8-Find the area of triangle whose two side are 16cm&12 cm and

the perimeter is 52cm.​

Answer 1

Answer:

Answer

According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is

A= s(s−a)(s−b)(s−c)

where

s= a+b+c/2

For the given triangle,

a=18 cm

b=24 cm

c=30 cm

s= 18+24+30/2

=36

A= √36(36−18)(36−24)(36−30)

A= √36×18×12×6

A= √216×216

=216 cm^2

Smallest side =18 cm

Area of the triangle = 1/2×base×altitude=216

1/2×18× altitude=216

Altitude = 216/9

=24 cm