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choose all the acute triangles.

Question

choose all the acute triangles.

Explanation:

Step1: Recall the definition of an acute triangle

An acute triangle is a triangle where all three angles are less than \(90^{\circ}\).

Step2: Analyze each triangle

  • The first green triangle (left - top) has one angle that is clearly greater than \(90^{\circ}\) (obtuse angle), so it is not an acute triangle.
  • The blue triangle (top - middle) has one angle that is clearly greater than \(90^{\circ}\) (obtuse angle), so it is not an acute triangle.
  • The green triangle (top - right) has all angles that appear to be less than \(90^{\circ}\).
  • The blue triangle (bottom - left) has one angle that is clearly greater than \(90^{\circ}\) (obtuse angle), so it is not an acute triangle.
  • The orange triangle (bottom - middle) has one angle that is clearly greater than \(90^{\circ}\) (obtuse angle), so it is not an acute triangle.
  • The orange triangle (bottom - right) has all angles that appear to be less than \(90^{\circ}\).

Answer:

The top - right green triangle and the bottom - right orange triangle are acute triangles.