How do you determine if the lengths 9, 40, 41 form a right triangle?

1 Answer
Jan 6, 2017

Answer:

Following the Pythagorean theorem, 9, 40, and 41 form a right triangle.

Explanation:

Every right triangle follows the #a^2 + b^2 = c^2# format (also called the Pythagorean theorem).

#a# and #b# represent the two bases, which are also the two shorter sides. In this case, #a# could represent 9 and #b# could represent 40.

#c# in the equation is the variable for the hypotenuse, which is the longest length in a right triangle. Plug in 41 for #c#.

So #a = 9#, #b = 40#, and #c=41#

Now you'd test if #9^2 + 40^2 = 41^2#

We'd solve, and get #81 + 1600 = 1681#

Because #81+1600# does equal #1681#, 9, 40, and 41 are the three lengths of one right triangle.