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

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

`√(109) = √(c^2)`

Final answer:

C=10.44

Answer 2

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