SOLUTION: what is the hypotenuse of a right triangle whose base is 12 in and whose height is 14 in

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Question 888314: what is the hypotenuse of a right triangle whose base is 12 in and whose height is 14 in
Answer by jim_thompson5910(35256) About Me  (Show Source):
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what is the hypotenuse of a right triangle whose base is 12 in and whose height is 14 in
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Use the Pythagorean Theorem and solve for c to get: 
	a%5E2+%2B+b%5E2+=+c%5E2


	12%5E2+%2B+14%5E2+=+c%5E2


	144+%2B+196+=+c%5E2


	340+=+c%5E2


	c%5E2=340


	c=sqrt%28340%29


	c=sqrt%284%2A85%29


	c=sqrt%284%29%2Asqrt%2885%29


	c=2%2Asqrt%2885%29


	c=18.4390889


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Answer:


The hypotenuse is exactly 2%2Asqrt%2885%29 units long

The hypotenuse is approximately 18.4390889 units long