Question

We can say that side lengths 6, 8 and 10 will make a right triangle. To make this statement, we use ___________ ____________ and the Pythagorean Theorem and show that they do, indeed work. Group of answer choices

Answer 1

To Prove :

Side lengths 6, 8 and 10 will make a right triangle.

Solution :

We know, by Pythagoras theorem :

$a^2+b^2 = c^2$

Here, c is the biggest side and a and b are other sides.

Putting given values in above equation.

$6^2+8^2 = 10^2\\\\36 + 64 = 100\\\\100 = 100$

Since, LHS = RHS .

Therefore, lengths 6, 8 and 10 will make a right triangle.