Question

identify each of the following triangles as acute, obtuse, right, or equiangular. (there may be more than one term that applies to these triangles.)
a. choose the correct classification below.
a. acute and equiangular
b. acute
c. obtuse
d. right
b. choose the correct classification below.
a. obtuse
b. acute and equiangular
c. acute
d. right
c. choose the correct classification below.

Explanation:

Part a

Step1: Analyze Triangle a

Triangle a has all angles less than \(90^\circ\) (acute) and if all angles are equal (equiangular, since all marked angles look equal), so it's acute and equiangular.

Step2: Match with Options

Option A is "acute and equiangular", which fits.

Step1: Analyze Triangle b

Triangle b has one angle greater than \(90^\circ\) (obtuse), so it's an obtuse triangle.

Step2: Match with Options

Option A is "obtuse", which fits.

Step1: Analyze Triangle c

Triangle c has all angles less than \(90^\circ\) (acute), so it's an acute triangle.

Step2: Match with Options

Option C is "acute", which fits.

Answer:

A. acute and equiangular

Part b