Question

Find the length of the third side. If necessary, round to the nearest tenth

Answer 1

Answer: 26

Explanation:

In the picture, we are given a right triangle. Based on that, we can use the Pythagorean Theorem, which helps us find the missing side length with the formula
`a^2+b^2=c^2`.

a and b represent the legs, and c is the hypotenuse. The hypotenuse is the longest side of the right triangle. It is also the side that is diagonal from the right angle.

In the picture, we are presented with the legs. So, we can plug in the legs into a and b to solve for c.

`a^2+b^2=c^2` [plug in a and b]

`10^2+24^2=c^2` [exponent]

`100+576=c^2` [add]

`676=c^2` [square root both sides]

`c=26`

This tells us that the length of the third side is 26.