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Nady [450]
3 years ago
5

A right triangle has a side with length 12 in and a hypotenuse with length 20 in. find the length of the missing leg. (round to

the nearest hundredth, if needed)
Mathematics
1 answer:
OLEGan [10]3 years ago
6 0
Let the unknown side be "z" inches
Through pythagoras:
{12}^{2}  +  {z}^{2}  =  {20}^{2}
Because the square of the two sides add up to the square of the hypotenuse in a right triangle.

This means that
{z }^{2}  = {20}^{2}  -  {12}^{2}
{z}^{2}  = 400 - 144 = 256
z =  \sqrt{256}  = 16
So the missing side is 16 inches

Hope this helped
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