Triangle ABC has side lengths 8 inches, 17 inches, and 15 inches. Sofia uses the following steps to conclude that triangle ABC i

Question

2 years ago

7

Triangle ABC has side lengths 8 inches, 17 inches, and 15 inches. Sofia uses the following steps to conclude that triangle ABC i

s not a right triangle.
$a^{2} +b^{2} =c^{2} \\8^{2} +17^{2} =15^{2} \\64+289=225\\353\neq 225$

What mistake did Sofia make?

A Sofia made a calculation error.
B Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.
C Sofia does not know if triangle ABC is a right triangle, so she cannot use the Pythagorean Theorem or its converse.
D 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.

Mathematics