Triangle cde is an isosceles triangle with angle d congruent to angle e if cd= 4x+9, de= 7x-5, ce= 16x-27, find x and the measure of each side.

ANSWER







EXPLANATION

It was given that ∆CDE is an isosceles triangle.

The length of the sides are given in terms of x as follows.







It was also given that, angle D is congruent to angle E.

This implies that, side CD and CE are equal.

Thus,


In terms of x, we have;



We group like terms to get,





Divide both sides by 12 to get,





The length of the sides are;

Did u want to find the value of x?