Find the length of the missing leg of a right triangle given a leg of length 8 and a hypotenuse of length 10. Leave your answer in simplest radical form.
(1 point)
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OpenStudy (raden):
let the length of the missing side is x, then use the pythagorean theorem :
x^2 = 10^2 - 8^2
solve for x
OpenStudy (anonymous):
would it be d?
OpenStudy (raden):
just guess ?
OpenStudy (anonymous):
no. i am failing geometry!
OpenStudy (raden):
well, to get x we have to simply the equation above :
x^2 = 10^2 - 8^2
x^2 = 100 - 64
x^2 = 36
x = sqrt (36) = ............... ?
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OpenStudy (anonymous):
so 6.
OpenStudy (raden):
yep
OpenStudy (anonymous):
k help me with one more?
OpenStudy (raden):
ok
OpenStudy (anonymous):
Find the length of the missing side. Leave your answer in simplest radical form.
The triangle is not to scale.
25
144
5
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OpenStudy (raden):
diagram ?
OpenStudy (anonymous):
d is square root of 5.
OpenStudy (anonymous):
OpenStudy (anonymous):
yes. and d is square root of 5.
OpenStudy (raden):
let the length of hypotenusa is x, and use the pythagorean theorema again :
x^2 = 3^2 + 4^2
x^2 = 9 + 16
x^2 = 25
x = sqrt(25) = .......................................................... ?
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