Question

the length of sides of a triangle are 8 cm ,12 cm ,16 cm when the base 16 then find height​

Answer 1

Answer:

9√30 / 4 cm

Step-by-step explanation:

Sides of triangle= 8 cm ,12 cm ,16 cm

First finding the value of s

s= (a+b+c) /2

s= (12+16+8) / 2

s= 36 / 2

s=18

By using herons formula

Area = $\sqrt{s} (s-a)(s-c)(s-c)$

Area= √18 (18-8) (18-16) (18-12)

Area=√18(10)(2)(6)

Area= √(9 x 3)(5 x 2)(2)(2 x 3)

Area= 3 x 2 x 3 √30

Area=18 √30 cm²

We found the area of triangle now

Base= 16 cm , height=?

Area = 1/2 (Base x Height)

18 √30 = 1/2 (16 x h)

18 √30 = 8h

18 √30 / 8 = h

9√30 / 4 cm =Height