Question

A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C) Can't be determined D) Acute

Answer 1

Answer: D) Acute

Step-by-step explanation:

Answer 2

Answer:

D:  Acute triangle

Step-by-step explanation:

First check whether this could be a right triangle.  Using the Pythagorean Theorem, we get:

5^2 + 6^2 = ? = 7^2      This equation is not true, and therefore the triangle is not a right triangle.

The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute.  Answer D is correct:  This is an acute triangle.