Answer :

Answer:

  acute, isosceles

Step-by-step explanation:

You want to know the classification of a triangle with two sides marked congruent.

Acute triangle

A triangle with all angles being acute angles is an acute triangle.

Isosceles triangle

A triangle with two congruent sides is an isosceles triangle.

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Additional comment

A triangle is acute, right, or obtuse according to the measure of its largest angle. Here, all angles appear to be acute angles.

A triangle is scalene if no sides are congruent, isosceles if 2 sides are congruent, and equilateral if all sides are congruent. The single hash marks indicate two sides are congruent in the triangle shown. (The double hash marks indicate that side is a different length, which would also be indicated by no hash marks.)

In general, figures in geometry problems should not be taken as being "to scale." Strictly, that means we cannot tell if the triangle is acute or obtuse. All we know is that there is no angle marked as a right angle. If we take the figure at face value (usually not recommended), we have to assume it is intended to represent an acute triangle.

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