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

Answer:

$A+B+C=130$

$F+E+D=273$

Step-by-step 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

$\frac{A}{F}=\frac{B}{E}=\frac{C}{D}$

Therefore solving for F

$\frac{9}{F}=\frac{110}{231}$

$F=\frac{9*231}{110}$

$F=18.9$

Therefore solving for E

$\frac{11}{E}=\frac{110}{231}$

$E=\frac{11*231}{110}$

$E=23.1$

Measure of $\triangle ABC$

$A+B+C=130$

Measure of $\triangle FED$

$F+E+D=273$