Question

the base of an isoscles triangle is 7.6 cm. If the perimeter of the triangle is 16.7 cm, find the length of each of the equal sides.​

Answer 1

Step-by-step explanation:

Given:-

The base of an isoscles triangle is 7.6 cm. If the perimeter of the triangle is 16.7 cm.

To find:-

Find the length of each of the equal sides?

Solution:-

The base of an Isosceles triangle = 7.6 cm

b = 7.6 cm

Let the equal sides of the Isosceles triangle be 'a' cm each

We know that

If the equal sides are 'a' units each and the base is 'b' units then the Perimeter of an Isosceles triangle is (2a+b) units

=>Perimeter = (2a+7.6) cm

According to the given problem

The Perimeter of the given Isosceles triangle = 16.7 cm

=>2a+7.6 = 16.7

=>2a = 16.7 - 7.6

=>2a = 9.1

=>2× a = 9.1

=>a = 9.1 / 2

=>a = 4.55 cm

Equal sides each = 4.55 cm

Answer:-

The length of the each of the equal sides of the Isosceles triangle is 4.55 cm

Check:-

We have

a = 4 .55cm

b= 7.6 cm

Perimeter = 2a+b units

=>P = 2(4.55)+7.6 cm

=>P = 9.1+7.6 cm

=>P = 16.7 cm

Verified the given relation

Used formula:-

• If the equal sides are 'a' units each and the base is 'b' units then the Perimeter of an Isosceles triangle is (2a+b) units

Answer 2

Answer:

Given:-

The base of an isosceles triangle is 7.6 cm, if the perimeter of the triangle is 16.7 cm, find the length of each of the equal sides.

To Find:-

Length of each of the equal sides of an isosceles triangle.

Note:-

●》Perimeter of an isosceles triangle = ( 2 × side ) + base.

●》So here a number needs to be rearranged for finding side.

Solution:-

Base = 7.6 cm, Side = ?, Let side = x

☆ According to note first point~

▪︎$Perimeter \ \ of \ \ an \ \ isosceles \ \ triangle = ( 2 × side ) + base$

▪︎$16.7 cm = ( 2 × x ) + 7.6 cm$

☆ After doing bracket calculations~

▪︎$16.7 cm = 2x + 7.6 cm$

☆ According to note second point~

▪︎$16.7 cm = 2x + 7.6 cm$

▪︎$2x = 16.7 cm - 7.6 cm$

☆ 2 is in multiplication with "x" when it will be rearranged changes to division.

▪︎$x = 9.1 cm ÷ 2$

☆ After doing calculations~

▪︎$x = 4.55 cm$

Checking:-

Perimeter of a isosceles triangle = ( 2 × side ) + base

• $16.7 cm = ( 2 × 4.55 ) + 7.6 cm ?$

After doing bracket calculations~

• $16.7 cm = 9.1 + 7.6 cm ?$

After doing whole calculations ~

• $16.7 cm = 16.7 cm ?$

Yes !

Hence, proved that side = 4.55 cm //

Answer:-

Hence, the length of each of equal sides of an isosceles triangle = 4.55 cm

:)