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Answer 1

Step-by-step explanation:

Given :-

The perimeter of an Isosceles triangle is 18 cm. One of the equal sides is 23/4 cm long.

To find:-

Find the measure of the third side?

Solution:-

Let the measure of the third side of the Isosceles triangle be X cm

Length of the equal sides = 23/4 cm each

Let a = 23/4 cm

Let b = X cm

We know that

The perimeter of an Isosceles triangle = 2a+b units

Where a is the length of the equal side and b is the third side

=> Perimeter = 2(23/4)+X cm

=> Perimeter = (46/4)+X

=> Perimeter = (23/2)+X

=> Perimeter = (23+2X)/2 cm

According to the given problem

The perimeter of an Isosceles triangle = 18 cm.

=> (23+2X)/2 = 18

=> 23+2X = 18×2

=> 23+2X = 36

=> 2X = 36-23

=> 2X = 13

=> X = 13/2 cm or 6.5 cm

Therefore, third side = 13/2 cm or 6.5 cm

Answer:-

The length of the third side of the Isosceles triangle is 13/2 cm or 6.5 cm

Used formulae:-

The perimeter of an Isosceles triangle = 2a+b units

Where a is the length of the equal side and b is the third side

Answer 2

Answer:

Length of equal sides =23/4cm

Perimeter of issoceles triangle is 18cm

Let the measure of third side =x

2× (equal sides )+third side =x

2×(23/4)+x=18

=23/2+x=18

=23+2x=36

= 2x=36-23

2x=13

x= 13/2.

Hope it helps u mate

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