Question

find area of triangle choose 3 sides are 8 cm 11 cm and 16 cm

Answer 1

=40.26cm^2...

plzz mark it as a brainliest answer

Answer 2

Heya,

Given,
a = 8cm
b = 11cm
c = 16cm

Perimeter = 8 + 11 + 16
Perimeter = 35cm

s = a + b + c/2
s = 8 + 11 + 16/2
s = 19 + 16/2
s = 35/2
s = 17.5

To find the area of the triangle,

By using herons formula:-

Area = √s ( s-a ) ( s-b ) ( s-c )
Area = √17.5 (17.5 - 8) (17.5 - 11) (17.5 - 16)
Area = √ 17.5 × 9.5 × 6.5 × 1.5
Area = √ 35 × 0.5 × 19 × 0.5 × 13 × 0.5 × 3 × 0.5
Area = 0.5 × 0.5 √35 × 19 × 13 × 3
Area = 0.25√25,935cm^2
Area = 40.26....cm^2
Area = 40.27 cm^2 (approx)

Hope my answer helps you :)

Regards,
Shobana