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Question

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classify the triangle below.

right scalene

acute scalene

right equilateral

right isosceles

Explanation:

Brief Explanations
  • Right triangle: A triangle with one \(90^{\circ}\) (right) angle. The given triangle has a right - angle (marked by the small square), so it is a right triangle.
  • Scalene triangle: A triangle where all three sides have different lengths. In a right - isosceles triangle, the two legs are equal. Since there is no indication of equal side lengths (no tick - marks to show congruent sides) in the given triangle, and an equilateral triangle has all angles equal to \(60^{\circ}\) (so it can't be a right - equilateral triangle as one angle is \(90^{\circ}\)), and an acute triangle has all angles less than \(90^{\circ}\) (but this triangle has a \(90^{\circ}\) angle, so it's not acute). So, based on the side - length property (no equal sides) and the angle property (\(90^{\circ}\) angle), it is a right - scalene triangle.

Answer:

Right scalene