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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?

User JCricket
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2 Answers

3 votes

For this, we will be using the pythagorean theorem, which is
leg^2+leg^2=hypotenuse^2 . Since we have the hypotenuse and one of the legs, we can solve for the other leg. Our equation will look like this:
x^2+60^2=100^2

Firstly, solve the exponents:
x^2+3600=10000

Next, subtract 3600 on both sides:
x^2=6400

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

User Cppiscute
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8.3k points
5 votes

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

User EDToaster
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8.0k points

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