an iscoesle triangle has two sides equal in the third side is seven less than twice the length of one of the other side if the perimeter of the triangle is 44 cm what is the length of the third side

Length of the third side is 18.5 cm

Solution

An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one side of the other side.

Let two equal side of the isosceles triangle = x cm

and third side = y cm

Then y = ( 2x - 7 ) --------(1)

Perimeter of the triangle is 44 cm

then x + x + y = 44

2x + y + 44 -----------(2)

Now we substitute the value of y from equation (1) to equation (2)

2x + ( 2x - 7 ) = 44

4x - 7 = 44

4x = 44 + 7

4x = 51

x =

= 12.75 cm

Now we put x = 12.75 in equation (1)

y = 2(12.75) - 7

= ( 25.5 - 7 )

= ( 18.5 )cm

Therefore, length of third side is ( 18.5 ) cm.

I hope it helps

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