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Crazy boy [7]
3 years ago
5

2^2 + (2√3)^2 = y^2 Please help!

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

y=4, -4

Step-by-step explanation:

2^2 + (2√3)^2 = y^2

4+ (2√3)^2 = y^2

y^2=4+12 (here we square the values inside bracket which turns 2 into 4 and when you square a square root it gets rid of the root so you are left with 3 which is multiplied to 4 and you get 12.)

y^2= 16

y=4, -4 (when you square root a positive value you get one positive and one negative answer because here (-4) x (-4) = 16 (because multiplying two negatives gives us a positive.

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Answer: 30 feet

--------------------------------

Work Shown:

x = height of tree in feet

The larger triangle, and the smaller triangle that fits inside the larger, are similr triangles.

So we can form the proportion 
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Note how x/5 is the result of dividing the larger vertical side (x) over the smaller vertical side (5)
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