A right scalene triangle is a type of triangle that has three sides of different lengths and one right angle (90 degrees). In other words, it combines the properties of both a right triangle and a scalene triangle.
Properties of a Right Scalene Triangle:
- Three unequal sides: All three sides have different lengths.
- One right angle: One of the angles is exactly 90 degrees.
- Two acute angles: The other two angles are less than 90 degrees.
Example:
Consider a triangle with sides measuring 3 cm, 4 cm, and 5 cm. This triangle is a right scalene triangle because:
- The sides are of different lengths (3 cm, 4 cm, and 5 cm).
- It has a right angle (90 degrees) between the sides measuring 3 cm and 4 cm.
Area Calculation:
The area of a right scalene triangle can be calculated using the formula:
Area = (1/2) × base × height
In the example above, the base and height are the two sides that form the right angle (3 cm and 4 cm). Therefore, the area would be:
Area = (1/2) × 3 cm × 4 cm = 6 cm²
Conclusion:
A right scalene triangle is a unique geometric shape that combines the characteristics of both right and scalene triangles. It has three sides of different lengths, one right angle, and two acute angles. Understanding its properties can help in solving various geometric problems.