Answer:
Length of the third side is 18.5 cm
Step-by-step explanation:
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 = [tex]\frac{51}{4}[/tex] = 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.
