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.

Respuesta :

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 [tex]a,[/tex] [tex]b,[/tex] and [tex]c[/tex], where [tex]c> a[/tex] & [tex]c>b[/tex], if

[tex]a^2+b^2=c^2[/tex], then it is a right triangle.

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

Answer:

b

Step-by-step explanation: