Question

Two sides of a triangle are 13 cm and 14 cm it's semi perimeter is 18cm Find the third sides of the triangle Also find its area​

Answer 1

Third side of triangle is: 9cm.

Answer 2

Step-by-step explanation:

Since,

Semi-perimeter of a triangle =

SUM OF ALL SIDES ÷ 2

Then,

Let,

a = 13cm

b = 14cm

c = ?

Also,

Semi-perimeter = a+b+c ÷ 2

18cm = 13+14+c ÷ 2

18 = 27+c ÷ 2

18×2 = 27+c

36 = 27+c

36-27 = c

9cm = c

Using Heron's formula,

√s(s-a)(s-b)(s-c)

=√18(18-13)(18-14)(18-9)

=√18(5)(4)(9)

=√18(180)

=√3250

=57 cm