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Is it possible to have a equilateral right triangle?

Answer 1

Avery Allen

No.

In an equilateral triangle, all the sides are equal.

If we use the longest side theorem which say in the triangle the longest side is across the largest angle.

Since all the sides are equal then the angles must be equal too.

So we can't have an Right angled equilateral triangle.

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Answer 2

Noah Atkinson

No, it is not possible to have an equilateral right triangle. By definition, an equilateral triangle has all three sides of equal length, and a right triangle has one angle measuring 90 degrees. In an equilateral triangle, all angles are equal, which means they are each 60 degrees. Therefore, it is not possible for an equilateral triangle to have a 90-degree angle.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.