A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem to determine whether it is a right triangle.

3^2 + 5^2 = 4^2

9 + 25 = 16

34 ≠ 16

Abe concluded that it is not a right triangle. Is Abe correct?

Question

Brycen Heath

Mathematics

25 July, 03:27

A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem to determine whether it is a right triangle.

3^2 + 5^2 = 4^2

9 + 25 = 16

34 ≠ 16

Abe concluded that it is not a right triangle. Is Abe correct?

+2

Answers (1)

Know the Answer?

Sonny Lam · Answer 1

No, Abe is incorrect.

If you don't know which side is the hypotenuse, you have to try every possibility.

3^ + 4^ = 5^

25 = 25

The triangle is a right triangle. The side which is 5 cm long is the hypotenuse.

A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem to determine whether it is a right triangle.3^2 + 5^2 = 4^29 + 25 = 1634 ≠ 16Abe concluded that it is not a right triangle. Is Abe correct?

A triangle has a side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used converse of the Pythagorean Theorem to determine whether it is a right triangle.

3^2 + 5^2 = 4^2

9 + 25 = 16

34 ≠ 16

Abe concluded that it is not a right triangle. Is Abe correct?