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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

3. Proving Triangle Congruence by SAS

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Exercise 35 Page 250

Are any of the sides congruent?

Obtuse scalene

Practice makes perfect

Let's analyze the given triangle.

To classify the triangle by its sides, we need to know how many sides are congruent.

Type	Sides
Scalene	No congruent sides
Isosceles	At least 2 congruent sides
Equilateral	3 congruent sides

Since there are no markers on sides, we know that there are no congruent sides. Therefore, the triangle is scalene. Now let's look at the angles.

Type	Angles
Acute	3 acute angles
Right	1 right angle
Obtuse	1 obtuse angle
Equiangular	3 congruent angles

We can see that two angles are acute and one is obtuse. Therefore, we can classify the triangle as an obtuse scalene triangle.

Subchapter links

Communicate Your Answer p.245

Monitoring Progress p.247-248