Question

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Answer 1

Using proportions, the lengths of the unknown sides are given as follows:

• 2x = 10.

• x - 3 = 2.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the triangles are similar, hence the lengths of it's sides follow the proportion given next:

$\frac{2x}{4} = \frac{5}{x - 3}$

Applying cross multiplication:

2x(x - 3) = 20

2x² - 6x - 20 = 0

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0.

Then the positive solution is:

x - 5 = 0 -> x = 5.

And the lenghts are:

• 2x = 10.

• x - 3 = 2.

More can be learned about proportions at brainly.com/question/24372153

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