Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
3. Proving Triangle Congruence by SAS
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Exercise 33 Page 250

What do the markers on the sides indicate?

Obtuse isosceles triangle

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

Note that there are markers on two sides. They indicate that these sides are congruent. Therefore, the triangle is isosceles. 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

Since the angle between the congruent sides is obtuse, we can classify the triangle as an obtuse triangle. Therefore, we can classify the triangle as an obtuse isosceles triangle.