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devlian [24]
3 years ago
14

30 POINTS!!! Please answer quick i need to turn this in Find X

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0
The correct answer is x=4
Jet001 [13]3 years ago
5 0
<h3>Answer:  x = 4</h3>

===============================================

Explanation

Let y be the height

We have three right triangles that are all similar. We can form the proportion below to solve for y^2. We don't have to find the value of y itself.

2/y = y/6

2*6 = y*y

12 = y^2

y^2 = 12

Now focus on the smaller triangle on the left. It has legs of 2 and y with hypotenuse x

Use the pythagorean theorem to find x

a^2+b^2 = c^2

2^2+y^2 = x^2

4 + 12 = x^2

x^2 = 16

x = sqrt(16)

x = 4

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