Question

if the area of the triangle is 384 m ^2 and perimeter is 96m. find the third side of the triangle and height of the triangle with the base on the third side the other two sides are 24m and 32m​

Answer 1

Step-by-step explanation:

Area of triangle with sides a, b and c and s =

2

a+b+c

is

s(s−a)(s−b)(s−c)

.

For triangle with sides 24 m, 40 m and 32 m, s=

2

24+40+32

=48m

Area of the triangle with sides 24 m, 40 m and 32 m =

48(48−24)(48−40)(48−32)

=

48×24×8×16

=

24×2×24×8×8×2

=24×8×2=384m

2

Hence, option 'B' is correct.