In a right triangle the length of a hypotenuse is 6 and the length of one leg is 5. Find the length of the other leg,

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Mathematics

Blayne

Yesterday, 22:07

In a right triangle the length of a hypotenuse is 6 and the length of one leg is 5. Find the length of the other leg,

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Answers (2)

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Aspen Newton · Answer 1

sqrt 11

Step-by-step explanation:

Pythagorean theorem again. a^2+b^2=c^2. The hypotenuse is the c value. One of the legs is either a or b, doesn't matter which. So you can make the equation 5^2+b^2=6^2. 25+b^2=36. Subtract 25 from each side to isolate the b variable. You're left with b^2=11. Now you take the square root of each side to get b. This makes b = sqrt 11.

London Lawson · Answer 2

sqrt 11

Step-by-step explanation:

Pythagorean theorem again. a^2+b^2=c^2. The hypotenuse is the c value. One of the legs is either a or b, doesn't matter which. So you can make the equation 5^2+b^2=6^2. 25+b^2=36. Subtract 25 from each side to isolate the b variable. You're left with b^2=11. Now you take the square root of each side to get b. This makes b = sqrt 11.