Question

If triangle abc is similar to triangle edc find the value of x

Answer 1

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{BC}{DC}$ = $\frac{AC}{EC}$ , substitute values

$\frac{3x-5}{32}$ = $\frac{5x-5}{56}$ ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15