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kodGreya [7K]
4 years ago
9

Can someone help with this? Idk how to do it

Mathematics
1 answer:
butalik [34]4 years ago
8 0

Answer:

a =12sqrt(2)

Step-by-step explanation:

The Pyhtagorean theorem is a^2 +b^2 =c^2

where a and b are the legs of the triangle and c is the hypotenuse

We know one of the legs is 6 and the hypotenuse is 18.

a^2 + 6^2 = 18^2

a^2 +36 =324

Subtracting 36 from each side

a^2 +36-36 = 324-36

a^2 =288

Taking the square root of each side

sqrt(a^2) = sqrt(288)

a =sqrt(288)

Knowing sqrt(ab) = sqrt(a) sqrt(b)

a = sqrt(144)sqrt(2)

a =12sqrt(2)


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