Question

Triangle ABC is similar to triangle FED, find the measure of x. A. X = 9 B. X = 11 C. X = 110 D. X = 231

Answer 1

`A+B+C=130`

`F+E+D=273`

Explanation:

From the question we are told that:

Dimension of ABC

A=9

B=11

C=110

Dimension of FED

D=231

Generally the equation for the similar triangles is mathematically given by

`(A)/(F)=(B)/(E)=(C)/(D)`

Therefore solving for F

`(9)/(F)=(110)/(231)`

`F=(9*231)/(110)`

`F=18.9`

Therefore solving for E

`(11)/(E)=(110)/(231)`

`E=(11*231)/(110)`

`E=23.1`

Measure of
`\triangle ABC`

`A+B+C=130`

Measure of
`\triangle FED`

`F+E+D=273`