Question

find the semi peri metre of a triangle sides are 165 CM 143 cm is 154 cm​

Answer 1

• The semi-perimeter of a triangle = 231 cm.

Given :

• First side of a triangle = 165 cm.
• Second side of a triangle = 143 cm.
• Third side of a triangle = 154 cm.

To Find :

• The semi-perimeter of a triangle.

Solution :

We know that,

Perimeter of a triangle = a + b + c

Where,

a, b and c are sides of a triangle.

We have to find the semi-perimeter of a triangle.

We also know that,

Semi-perimeter of a triangle is half of the perimeter of a triangle.

So,

$\red{ \boxed{ \gray {\tt{semi - perimeter = \frac{a + b + c}{2} }}}}$

Where we have,

• The value of a = 165 cm.
• The value of b = 143 cm.
• The value of c = 154 cm.

Now, substitute all the given values in the formula of the semi-perimeter of a triangle.

$\implies \dfrac{165 \: cm + 143 \: cm+ 154 \: cm}{2}$

$\implies \dfrac{308 \: cm+ 154 \: cm}{2}$

$\implies \cancel \dfrac{462}{2} \: cm$

$\implies \dfrac{231}{1} \: cm$

$\implies 231 \: cm$

Hence,

The semi-perimeter of a triangle is 231 cm.