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# similar triangles

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What is the value of x?

Mar 21, 2021

#1
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Since the line that cuts through the triangle is parallel to the base, we know that 3 is proportional to x - 3 in the same way 5 is proportional to  2x-10.

Mathematically, we can represent this as:

$${\frac {5} {2x-10}}={\frac {3} {x-3}}$$

Which can then be solved to get:

$$5(x-3)=3(2x-10)$$

$$5x-15=6x-30$$

$$x = 15$$

Thus, x = 15.

Solved! :)

Mar 21, 2021