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A right angled triangle has two sides with lengths 4 and 3. What is the third side length?

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tonyah995 | Student, Undergraduate | Salutatorian

Posted March 23, 2011 at 4:40 AM via web

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A right angled triangle has two sides with lengths 4 and 3. What is the third side length?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted March 23, 2011 at 4:48 AM (Answer #1)

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The right triangle has two sides of length 4 and 3. The third side can have a length which can be calculated using the Pythagorean Theorem. As it is not given that 4 and 3 are the lengths of the smaller sides, I'll consider all the cases.

In case the shorter sides are 4 and 3, the third side has a length sqrt ( 16 + 9) = sqrt 25 = 5

Else, if the side has a length L, sqrt (L^2 + 3^2) = 4

=> L^2 + 9 = 16

=> L^2 = 7

=> L = sqrt 7

The third side of the triangle can have a length 5 or sqrt 7.

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