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PLEASE Show work and explain! Use proportion. Due in 12 hours.

PLEASE Show work and explain! Use proportion. Due in 12 hours.-example-1

2 Answers

2 votes
I’m pretty sure the answer is 200/7
User Suvethan Nantha
by
8.0k points
7 votes

Answer: 200/7

Explanation:

This creates 3 similar right triangle

you would put similar parts on top and the similar parts on bottom of proportions.

ex.


(hypotenuse)/(short leg) = (hypotenuse)/(short leg)

in your problem they gave the short legs and long legs of right triangel

The line that they share in middle of the triangle is the long leg for the triangle on right and it is also the short leg for triangle on left.


(long leg)/(short leg) =(long leg)/(short leg)


(x)/(20) = (20)/(14)

x=(400)/14 = 200/7

You could also make your proportion where

parts of 1 triangle = equivalent parts of the other

ex.


(long leg from big triangle)/(long leg from small triangle) = (short leg big triangle)/(short leg from small triangle)

User Amergin
by
7.4k points