Question

Use the pythagorean Theorem to prove the three sides of the triangle are the three sides of a right triangle. Show all of your work. 2,4,2,√3

Answer 1

`2^(2)` +
`(2√(3)) ^(2)` = 4 + 4 * 3 = 16 =
`4^(2)`

Explanation:

The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and
`2√(3)`, squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and
`2√(3)` being the legs of the right triangle, and 4 being the hypotenuse.