Is a 30-60-90 Triangle Isosceles?

Discover why a 30-60-90 triangle cannot be isosceles, including definitions and side ratios.

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No, a 30-60-90 triangle cannot be isosceles. By definition, it is a right triangle with angles of 30°, 60°, and 90°, and sides in a fixed ratio of 1:√3:2. An isosceles triangle requires at least two sides to be of equal length, which is not possible in a 30-60-90 triangle.

FAQs & Answers

  1. What is the definition of a 30-60-90 triangle? A 30-60-90 triangle is a right triangle with angles of 30°, 60°, and 90°, and its side lengths are in the ratio of 1:√3:2.
  2. Can an isosceles triangle have a right angle? Yes, an isosceles triangle can have a right angle, known as an isosceles right triangle, which has angles of 45°, 45°, and 90°.
  3. How can you determine the type of a triangle? The type of a triangle can be determined by its angles (acute, right, obtuse) and side lengths (scalene, isosceles, equilateral).