Question

3) Round answer to the nearest hundredth. *

14 points
A right triangle has one leg with a length of 18 mm and a hypotenuse with a length of 82 mm.
What is the length of the other leg?
Your answer

Answer 1

80 mm

Explanation:

Pythagorean theorm can be applied here to solve for the length of the last leg,
`a^(2)` +
`b^(2)` =
`c^(2)`, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:

b = √c^2 - √a^2

= √(82)^2 - √(18)^2

= √6724 - √324

= √6400

= 80 mm