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pogonyaev
3 years ago
6

What is the length of AC?

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0
So in order to find line AC you must find line AD and DC then plus them together.

to find AD use Pythagoras theorem
a^2 = c^2 - b^2
AD^2 = 7.5^2 - 6.5^2
AD^2 = 56.25 - 42.25
AD^2 = 14
square root both sides to get rid of the ^2
AD ≈ 3.7 or 3.74

Do the same for DC
DC^2 = 10^2 - 6.5^2
DC^2 = 100 - 42.25
DC^2 = 57.75
DC ≈ 7.6

now plus AD and DC which should give u 11.3
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Let: hypotenuse = a , known leg = b , unknown leg = c
According to Pythagoras' Theorem:  a^{2}  =   b^{2}  +  c^{2}
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            c^{2} = (32  inches)^{2}  -  (18  inches)^{2}
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