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

x=11

Step-by-step explanation:

part 1:

9x-25=6x+8

3x=33

x=11

part 2:

CD=9(11)-25=74

DE=6(11)+8=74

CE=10(11)-37

Answer 2

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

Step-by-step 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.