How do you determine if the lengths #36, 77, 85# form a right triangle?

1 Answer
Jan 16, 2017

Answer:

Use the Pythagorean theorem. See the entire determination process below:

Explanation:

We will use the Pythagorean Theorem to determine if these lengths for a right triangle.

This theorem states, for a right triangle:

#a^2 + b^2 = c^2#

Where #a# and #b# are the base and height and #c# is the hypotenuse which is also the longest length.

Substitute the values into this equation and see if both sides of the equation are equal. If they are the lengths form a right triangle. If they are not equal then they would not form a right triangle.

#36^2 + 77^2 = 85^2#

#1296 + 5929 = 7225#

#7225 = 7225#

Because both sides of the equation are equal these lengths do form a right triangle.