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,
[tex]CD=DE[/tex]
[tex]9x-25=6x+8[/tex]
Separate like terms and combined them.
[tex]9x-6x=25+8[/tex]
[tex]3x=33[/tex]
[tex]x=11[/tex]
Therefore, the value of x is 11.
The measures of all sides are,
[tex]CD=9x-25=9(11)-25=99-25=74cm[/tex]
[tex]DE=6x+8=6(11)+8=66+8=74cm[/tex]
[tex]CE=10x-73=10(11)-73=110-73=37cm[/tex]
Therefore the measure of each sides are 74 cm,74 cm and 37 cm.
