Question

Find x. For problems 2 and 3

Answer 1

x = 4 and x = 7

Explanation:

Given that the segment in the triangle is parallel to the third side of the triangle and intersects the 2 sides then it divides these 2 sides in proportion, thus

`(x)/(12)` =
`(x+1)/(15)` ( cross- multiply )

15x = 12(x + 1) ← distribute

15x = 12x + 12 ( subtract 12x from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

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`(8)/(7)` =
`(16)/(2x)` ( cross- multiply )

16x = 112 ( divide both sides by 16 )

x = 7