Question

triangle CDE is an isosceles triangle with CD congruent to DE. If CD equals 9x - 25, DE equals 6X + 8, CE equals 10 x - 73, find X and the measure of each side

Answer 1

Answer: The value of x is 11 and the measure of each sides are, 74 cm,74 cm and 37 cm.

Explanation:

It is given that in triangle CDE is an isosceles triangle with CD congruent to DE. If CD equals 9x - 25, DE equals 6X + 8, CE equals 10 x - 73.

Since,

$CD=DE$

$9x-25=6x+8$

Separate like terms and combined them.

$9x-6x=25+8$

$3x=33$

$x=11$

Therefore, the value of x is 11.

The measures of all sides are,

$CD=9x-25=9(11)-25=99-25=74cm$

$DE=6x+8=6(11)+8=66+8=74cm$

$CE=10x-73=10(11)-73=110-73=37cm$

Therefore the measure of each sides are 74 cm,74 cm and 37 cm.