Question

What does the converse of the Pythagorean Theorem say about a triangle with sides of length a, b, and c, where c>a and c>b?
A. If it is a right triangle, then a2+b2=c2.

B. If a2+b2=c2, then it is a right triangle.

C. If it is not a right triangle, then a2+b2≠c2.

D. If a2+b2≠c2, then it is not a right triangle.

Answer 1

Answer:

B. If a2+b2=c2, then it is a right triangle.

Step-by-step explanation:

The converse of the Pythagorean theorem says

"if the sum of the squares of the two sides is equal to the square of its longest side, then the triangle is a right triangle."

Which means for a triangle with sides $a,$ $b,$ and $c$, where $c> a$ & $c>b$, if

$a^2+b^2=c^2$, then it is a right triangle.

Therefore, choice B: If a2+b2=c2, then it is a right triangle., is correct