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If BCF ~ BDE, solve for x

If BCF ~ BDE, solve for x-example-1

1 Answer

3 votes

Answer:

x = 10

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is


(BE)/(BF) =
(BD)/(BC) ( substitute values )


(56+5x-8)/(56) =
(52+39)/(52) , that is


(48+5x)/(56) =
(91)/(52) ( cross- multiply )

52(48 + 5x) = 56 × 91 = 5096 ( divide both sides by 52 )

48 + 5x = 98 ( subtract 48 from both sides )

5x = 50 ( divide both sides by 5 )

x = 10

User Andrei Dragotoniu
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