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quintavius223 quintavius223
  • 06-01-2016
  • Mathematics
Answered

a right triangle. If AC = 7 and BC = 8, find AB. Leave your answer in simplest radical form.

Verified Answer :

AL2006
AL2006 AL2006
  • 06-01-2016


We don't know whether those two sides are both legs
of the right triangle, or if  BC  is the hypotenuse.

If  AC  and  BC  are both legs, then

           AB = √ (AC² + BC²)
                 =  √ (7² + 8²)
                 =  √ (49 + 64)  =  √ 113 .

If  BC  is the hypotenuse of the right triangle, then

           AB = √ (BC² - AC²)
                 =  √ (8² - 7²)
                 =  √ (64 - 49)  =  √ 15 .

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