Question

The semiperimeter of a triangle is 20 cm and the length of its two sides is 12 cm each . What is the length of its remaining side?

Answer 1

Answer:

Third side of the triangle = 16 cm

Step-by-step explanation:

Given :

First side = 12 cm

Second side = 12 cm

Semi perimeter of the triangle = 20 cm

To find :

The third side of the triangle

Taken :

Let the third side be x

So , to find the third side use this formula -:

$\boxed{\sf{s=\dfrac{a+b+c}{2}}}$

Where,

s = Semi-perimeter

a = First side

b = Second side

c = Third side

Solution :

$:\implies\sf{20=\dfrac{12+12+x}{2}}$

$:\implies\sf{20=\dfrac{24+x}{2}}$

Cross multiply the number

$:\implies\sf{20\times2=24+x}$

$:\implies\sf{40=24+x}$

$:\implies\sf{40-24=x}$

$:\implies\sf{16cm=x}$

So , the third side of the triangle is 16 cm .

Answer 2

Answer:

Third side of the triangle = 16cm

Step-by-step explanation:

Given:-

First side = 12cm

Second side = 12cm

Semi perimeter of the triangle = 20cm

To find:-

The third side of the triangle

Taken:-

Let the third side be x

So, to find the third side use this formula

S = a+b+c

2

Where,

S= Sime-perimeter

A= First side

B= Second side

C= Third side

SOLUTION:-

==> 20 = 12+12+x

2

==> 20 = 24+x

2

Cross multiply the number

==> 20×2 = 24+x

==> 40 = 24+x

==> 40-24 = x

==> 16cm = x

So, the third side of the triangle is 16cm