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

Answer:

$2^{2}$ + $(2\sqrt{3}) ^{2}$ = 4 + 4 * 3 = 16 = $4^{2}$

Step-by-step 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 $2\sqrt{3}$, 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 $2\sqrt{3}$ being the legs of the right triangle, and 4 being the hypotenuse.