Question

two sides of a triangle are 8cm and 11 cm. if the semi perimeter of the triangle is 16cm.what is the third side of the triangle?​

Answer 1

Answer:

two side of a triangle are 8cm and 11cm the semi perimeter of the triangle is 16cm what is its third side

Answer 2

Given,

Two sides of Triangle are 8 cm and 11 cm.

Semi perimeter of triangle is 16 cm.

To Find,

Third side of the triangle.

Solution,

Semi Perimeter of the Triangle (S) = $\frac{a+b+c}{2}$

where a, b and c are sides of triangle.

Let us say a = 8 cm

b = 11 cm

S = $\frac{8+11+c}{2}$ = 16

⇒ 32 = 19 + c

⇒ c = 32 - 19

⇒ c = 13

Henceforth the third side of the triangle is 13 cm.