SOLUTION: If ine side of a right triangle is 12 and its hypotenuse is 13, what is the length of the other side?

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Question 169784: If ine side of a right triangle is 12 and its hypotenuse is 13, what is the length of the other side?
Answer by Electrified_Levi(103) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, Hope I can help,
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If one side of a right triangle is 12 and its hypotenuse is 13, what is the length of the other side?
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The formula to find the Hypotenuse or sides is +a%5E2%2Bb%5E2=c%5E2+, where "a" and "b" are the sides, and "c" is the hypotenuse
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We can replace "c" with the length of the hypotenuse (13), and we can replace "a" or "b" with "12" ( we will replace "a" )
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a = 12
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b = unknown
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c = 13
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+a%5E2%2Bb%5E2=c%5E2+ = +%2812%29%5E2%2Bb%5E2=%2813%29%5E2+ = +144%2Bb%5E2=169+
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We will now move "144" to the right side
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+144%2Bb%5E2=169+ = +144-144%2Bb%5E2=169-144+ = +b%5E2=25+, now we just take the square root of both sides
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+b%5E2=25+ = +sqrt%28b%5E2%29=sqrt%2825%29+ = +b+=+5+ or +b+=+-5+
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Since lengths cannot be nagative, the length of the other side is "5"
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You can check by replacing "b" with "5" in the equation
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+144%2Bb%5E2=169+ = +144%2B%285%29%5E2=169+ = +144%2B25=169+ = +169+=+169+, (True)
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The length of the other side is "5"
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+5+ is your answer
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Hope I helped, Levi