Question

How many triangles exist with the given angle measures?

60° 60° 60°

Answer 1

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✏ Many triangles will exist but there's only 1 type of the triangle. It's called the equilateral triangle.

We know that the angles in a triangle form 180°.

`60 + 60 + 60 \\ = 180`

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

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Answer 2

The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths.

Therefore, more than one triangle exists with the given angle measures.