What’s the correct name for the triangle below? a.) Equilateral triangle b.) Isosceles triangle c.) Scalene triangle d.) Right triangle
The Correct Answer and Explanation is :
To correctly identify the type of triangle, we need to focus on the triangle’s characteristics. While I can’t see the image you’re referring to, I’ll explain the different types of triangles based on their sides and angles. Once you confirm which characteristics match the triangle in question, you can select the right answer.
1. Equilateral Triangle
An equilateral triangle has all three sides of equal length. Furthermore, all three internal angles are equal, each measuring 60 degrees. The symmetry of this triangle is remarkable because it looks the same from every angle.
2. Isosceles Triangle
An isosceles triangle has two sides that are equal in length. The angles opposite these equal sides are also equal to each other. The third side may differ in length. If the triangle is isosceles, it could still be a right triangle if one angle measures 90 degrees, but its defining feature is the pair of equal sides.
3. Scalene Triangle
A scalene triangle has all three sides of different lengths. Since all sides are unequal, the angles are also unequal. There is no symmetry in a scalene triangle. Unlike an isosceles triangle, it doesn’t have any sides or angles that are congruent.
4. Right Triangle
A right triangle contains one 90-degree angle (a right angle). This type of triangle can be either isosceles or scalene. A right triangle does not necessarily need to have all equal sides or angles, as long as one angle is exactly 90 degrees. The sides opposite the right angle adhere to the Pythagorean theorem, where the sum of the squares of the two shorter sides equals the square of the hypotenuse.
Conclusion
- Equilateral Triangle: All sides equal, all angles 60°.
- Isosceles Triangle: Two sides equal.
- Scalene Triangle: All sides and angles different.
- Right Triangle: One angle is 90°.
Let me know which of these characteristics describe your triangle, and I can help you make the correct selection!