2 Answers

Sam Soffes · Answer 1 · 2024-04-04T08:01:53+0000

Answer:

x = 10

Explanation:

To find the value of x, use the Side Splitter Theorem.

If a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

$\implies x:(x+5)=2:3$

$\implies (x)/(x+5)=(2)/(3)$

$\implies 3x=2(x+5)$

$\implies 3x=2x+10$

$\implies x=10$

Therefore, the value of x is 10.

Luukes · Answer 2 · 2024-04-05T22:53:33+0000

Answer:

x = 10

Explanation:

given a line parallel to a side of a triangle and intersecting the other two sides, then it divides those sides proportionally , that is

(2)/(3) =
(x)/(x+5) ( cross- multiply )

3x = 2(x + 5)

3x = 2x + 10 ( subtract 2x from both sides )

x = 10

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