1. Though there are two ways in which we classify triangles, we often name a triangle using both its side length and angle measure classifications (e.g., an obtuse isosceles triangle). Given this, answer true or false to the following statements. If the statement is true, draw an example of the triangle. If the statement is false, explain why. Statement True False Why? A triangle can have exactly 2 acute angles. A triangle can have an obtuse angle and a right angle. A triangle can be scalene and right. A triangle can be equilateral and obtuse. A triangle can be isosceles and right.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question
# Triangle Classification Exercise

## Instructions

Though there are two ways in which we classify triangles, we often name a triangle using both its side length and angle measure classifications (e.g., an obtuse isosceles triangle). Given this, answer true or false to the following statements. If the statement is true, draw an example of the triangle. If the statement is false, explain why.

| Statement                                                     | True | False | Why?                                           |
|---------------------------------------------------------------|------|-------|------------------------------------------------|
| A triangle can have exactly 2 acute angles.                   |      |       |                                                |
| A triangle can have an obtuse angle and a right angle.        |      |       |                                                |
| A triangle can be scalene and right.                          |      |       |                                                |
| A triangle can be equilateral and obtuse.                     |      |       |                                                |
| A triangle can be isosceles and right.                        |      |       |                                                |
Transcribed Image Text:# Triangle Classification Exercise ## Instructions Though there are two ways in which we classify triangles, we often name a triangle using both its side length and angle measure classifications (e.g., an obtuse isosceles triangle). Given this, answer true or false to the following statements. If the statement is true, draw an example of the triangle. If the statement is false, explain why. | Statement | True | False | Why? | |---------------------------------------------------------------|------|-------|------------------------------------------------| | A triangle can have exactly 2 acute angles. | | | | | A triangle can have an obtuse angle and a right angle. | | | | | A triangle can be scalene and right. | | | | | A triangle can be equilateral and obtuse. | | | | | A triangle can be isosceles and right. | | | |
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning