Question

Triangle ABC has side lengths 8 inches, 17 inches, and 15 inches. Sofia uses the following steps to conclude that triangle ABC is not a right triangle.

a2+b2=c282+172=15264+289=225353 ≠ 225



What mistake did Sofia make?




Sofia made a calculation error.


Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.


Sofia does not know if triangle ABC is a right triangle, so she cannot use the Pythagorean Theorem or its converse.


Sofia’s conclusion is incorrect. When the sides of a triangle do not satisfy a2+b2=c2, you cannot conclude that the triangle is a right triangle.

Answer 1

Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.

Explanation:

Answer 2

Answer: Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.

Step-by-step explanation: The leg is the smallest number and the hypothenuse is the biggest nunber.