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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

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