If a right triangle has a hypotenuse of length 100 units and one leg of length 60 units, what is the length of the other leg?

For this, we will be using the pythagorean theorem, which is . Since we have the hypotenuse and one of the legs, we can solve for the other leg. Our equation will look like this:

Firstly, solve the exponents:

Next, subtract 3600 on both sides:

Next, square root both sides, and your answer will be x = 80 units

The Pythagorean Theorem: a^2 + b^2 = c^2

a^2 = c^2 - b^2 where a and b = legs and c = hypotenuse

a^2 = 100^2 - 60^2

a^2 =10000 - 3600

a^2 = 6400

a= √6400

a = 80

Answer

The length of the other leg = 80 units

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