The hypotenuse of a right triangle is 7 inches, and one of the legs is inches. Find the length of the other leg?

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Answer 1 · 2018-07-23T02:00:54

Question seems incomplete. Anyhow, use the following equation to solve for y, giving a value for x.

#x^2 + y^2 = 49#

#"Length of the hypotenuse " h = 7 " inch"#

Let x be the length of one leg.

Length of the leg (y) can be found out using Pythagoras theorem.

#x^2 + y^2 = h^2#

#x^2 + y^2 = 7^2 = 49#

By knowing the value of x, we can solve for y.

Let #x = 3#.

#y^2 = 49 - 3^2 = 49 - 9 = 40#

#y = sqrt 40#