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alukav5142 [94]
3 years ago
10

Find the value of x in the triangle shown below. D is x=8

Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Step-by-step explanation:

{2}^{2}  +  {x}^{2}  =  {6}^{2}  \\ 4 +  {x}^{2}  = 36 \\  {x}^{2} = 36 - 4  \\  {x}^{2}  = 32 \\ x =  \sqrt{32}

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Answer:

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Step-by-step explanation:

What we have to know is that when two triangles are similar their sides will always be proportional. So we will create a proportion that goes like this...\frac{\Delta1side}{\Delta1base} =\frac{\Delta2side}{\Delta2base} but since it doesn't tell us the exact value of triangle 1. We will have to add 3 and 12 to get 15 which is the base of the first triangle. Now we're ready to write the proportion.

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Now we cross multiply and solve the equation...

48x=15(3x+1)\\48x=45x+15\\3x=15\\x=5

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Answer:

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