Question

The sides of a triangle have lengths 4, 5, and 6. What kind of triangle is it?

Acute
Obtuse
Right

Answer 1

Nope it was acute.

Answer 2

The sides of a triangle have lengths 3, 5, and 7. What kind of triangle is it?
Acute
Obtuse
Right

Answer 3

The previous one was correct.
Here is the next.
The sides of a triangle have lengths 3, 5, and 6. What kind of triangle is it?

Answer 4

Since 4^2 + 5^2 = 16 + 25 = 41 < 6^2 = 36, this triangle is an obtuse triangle.

Answer 5

Apologies for the mistake. You are correct. Since the sum of the squares of the two shorter sides, 4^2 + 5^2 = 16 + 25 = 41, is less than the square of the longest side, 6^2 = 36, the triangle is acute. Thank you for pointing out the error.

Answer 6

Since 3^2 + 5^2 = 9 + 25 = 34 < 7^2 = 49, this triangle is an obtuse triangle.

Answer 7

Since 3^2 + 5^2 = 9 + 25 = 34 < 6^2 = 36, this triangle is an acute triangle. Thank you for the correction on the previous question.