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
b. right
c. acute and equiangular
d. obtuse
b. choose the correct classification below.
a. obtuse
b. acute and equiangular
c. right
d. acute

Explanation:

Step1: Recall triangle - type definitions

An acute - angled triangle has all angles less than 90°. A right - angled triangle has one angle equal to 90°. An obtuse - angled triangle has one angle greater than 90°. An equiangular triangle has all angles equal (each 60°).

Step2: Analyze triangle a

In triangle a, all angles appear to be less than 90° and equal. So it is acute and equiangular.

Step3: Analyze triangle b

In triangle b, there is a right - angle (marked by the square symbol). So it is a right - angled triangle.

Step4: Analyze triangle c

In triangle c, there is an angle greater than 90°. So it is an obtuse - angled triangle.

Answer:

a. C. acute and equiangular
b. C. right
c. A. obtuse