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

If Triangle Abc Is Similar To Triangle Edc Find The Value Of X class=

Sagot :

Answer:

x = 15

Step-by-step explanation:

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

[tex]\frac{BC}{DC}[/tex] = [tex]\frac{AC}{EC}[/tex] , substitute values

[tex]\frac{3x-5}{32}[/tex] = [tex]\frac{5x-5}{56}[/tex] ( 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

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