Answer :

a^2 + b^2 = c^2
3^2 + 10^2 = c^2
9 + 100 = c^2
109 = c^2
sq rt 109 = c
10.44 = c.....so the hypotenuse is 10.44 units
poojaa195
Hi there! :) 

Since we are looking for the hypotenuse, we will use the Pythagorean theorem.  
Which is:
[tex]a^2+b^2=c^2[/tex]

We know the values of a and b  so let's plug them in
[tex]3^2+10^2=c^2[/tex]
[tex]9+100=c^2[/tex]
[tex]109=c^2[/tex]
Square root both sides to cancel out the root
[tex] \sqrt{109} = \sqrt{c^2} [/tex]

Final answer:

C=10.44 

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