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avatar+392 
If the lengths of two sides of a right triangle are 5 and 12 units, what is the least possible length, in units, of the third side? Express your answer in simplest radical form.
 Mar 24, 2020
 #1
avatar+1970 
+3

Use the Pythagorean Theorem.

 

a^2+b^2=c^2 is the formula.

Since a=5

          b=12

 

We can plug these values in.

 

5^2+12^2=c^2

25+144=169 (or c^2)

 

the square root of 169 will get us 13.

 

Hence, the third side length is 13 units.

 

Hope this helped!

 Mar 24, 2020
 #2
avatar+392 
0

what is that in radical form 

Paresh  Mar 24, 2020
 #3
avatar+21017 
+3

If the '12' side could be the hypotenuse, then there is another answer:

Let  a = 5  and  c = 12:     a2 + b2  =  c2

                                       (5)2 + b2  =  (12)2

                                         25 + b2  =  144

                                                  b2  =  119

                                                    b  =  sqrt(119)

 Mar 24, 2020

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