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

Explanation:

Step1: Recall triangle - angle 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

Since all angles in triangle a appear to be less than 90°, it is an acute triangle. Also, since all angles seem to be equal, it is equiangular.

Step3: Analyze triangle b

Since there is a right - angle (90°) marked in triangle b, it is a right triangle.

Step4: Analyze triangle c

Since there is an angle greater than 90° in triangle c, it is an obtuse triangle.

Answer:

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