Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 3 - Section 3.3 - Isosceles Triangles - Exercises - Page 145: 20

Answer

(a) It is possible for a triangle to be an acute isosceles triangle. (b) It is possible for a triangle to be an obtuse isosceles triangle. (c) It is not possible for a triangle to be an equiangular isosceles triangle.

Work Step by Step

(a) It is possible for a triangle to be an acute isosceles triangle. One angle has a measure of $x$ where $0 \lt x \lt 90^{\circ}$ The two other angles measure $\frac{180^{\circ}-x}{2}$ (b) It is possible for a triangle to be an obtuse isosceles triangle. One angle has a measure of $x$ where $90^{\circ} \lt x \lt 180^{\circ}$ The two other angles measure $\frac{180^{\circ}-x}{2}$ (c) It is not possible for a triangle to be an equiangular isosceles triangle. If all three angles measure $60^{\circ}$, then the triangle is an equilateral triangle, not an isosceles triangle.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.