Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select all of the ways that you can classify the following triangle. 6 …

Question

select all of the ways that you can classify the following triangle. 6 6 6 acute right scalene equiangular equilateral obtuse isosceles

Explanation:

Step1: Classify by side lengths

A triangle with all three sides equal ($6 = 6=6$) is an equilateral triangle. An equilateral triangle is also a special case of an isosceles triangle (a triangle with at least two equal sides).

Step2: Classify by angles

The sum of interior angles of a triangle is $180^{\circ}$. In an equilateral triangle, each angle is $\frac{180^{\circ}}{3}=60^{\circ}$. Angles less than $90^{\circ}$ are acute angles, so it is an acute - angled triangle. Also, since all angles are equal ($60^{\circ}=60^{\circ}=60^{\circ}$), it is equiangular.

Answer:

A. Acute, D. Equiangular, E. Equilateral, G. Isosceles