Precalculus with Limits: A Graphing Approach, Sixth Edition
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Precalculus with Limits: A Graphing Approach, Sixth Edition View details
1. Law of Sines
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Exercise 1 Page 410

Consider the types of triangles based on their angles.

oblique

We want to fill in the blank in the following sentence.

An triangle is one that has no right angles.

A right triangle is defined as a triangle that contains one right angle. Any triangle that does not contain a right angle is called an oblique triangle. The term oblique is used to contrast with the specific case of a right triangle, emphasizing that the angles of the triangle are not right angles. We can now fill in the blank in the given sentence.

An oblique triangle is one that has no right angles.

Extra

Types of Oblique Triangles

There are two types of oblique triangles. One of them is an acute triangle which is a triangle where all angles are acute.

Acute Triangle

The other type of oblique triangles is an obtuse triangle which is a triangle that has one obtuse angle.

Obtuse Triangle