Question

The legs of a right triangle are 3 units and 10 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. (5 points)
10.44 units

1.00 unit

7.00 units

9.54 units

Answer 1

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

Answer 2

Hi there! :) 

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

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

Final answer:

C=10.44