You sketch a right triangle that has a hypotenuse of 13 centimeters, and one leg that is 8 centimeters. how many centimeters is the other leg?

Hello from MrBillDoesMath!

sqrt(105)

(which is approximately 10.25 centimeters )

Discussion:

Call the unknown leg"a". From the Pythagorean theorem

8^2 + a^2 = 13^2            => subtract 8^2 = 64 from both sides

a^2  = 13^2 - 64              => as 13^2 = 169

a^2  = 169 - 64 = 105     => take the square root of both sides

a = sqrt(105) which is approximately 10.25 centimeters

Thank you,

MrB

c: lkllmn.

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