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# UM HELP?

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Can someone please explain how to do this quick? Thanks!

"The triangles in each diagram are similar to one another. Solve for x in each diagram. If an answer could be written as a fraction or decimal, type your answer in as a decimal. Diagrams are not necessarily drawn to scale."

Apr 27, 2021
edited by Guest  Apr 27, 2021

#1
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First find the hypotenuse of the first triangle.
$$\sqrt{8^2 + 6^2} =10$$

Now since we know they're similar triangles, we can see that the relationship between the triangles are that they are doubled.
10 ÷ 2 = 5, which means x = 5.

Apr 27, 2021
#2
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Thank you so much!

Guest Apr 27, 2021
#3
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Using the Pythagorean Theorem, the hypotenuse of the larger triangle is 10. So the ratio of 6:10 is equal to 3:x

we can also write it like this:

6/10 = 3/x

Solving for x, we get

 x = 5
Apr 27, 2021