3. Proving Triangle Congruence by SAS
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What do the markers on the sides indicate?
Obtuse isosceles triangle
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.