right triangle
A right triangle is a type of triangle that has one angle measuring 90 degrees, which is called a right angle
A right triangle is a type of triangle that has one angle measuring 90 degrees, which is called a right angle. The other two angles are acute angles, meaning they measure less than 90 degrees. The side opposite to the right angle is called the hypotenuse, and the other two sides are called legs.
Let’s say we have a right triangle with sides a, b, and c, where c is the hypotenuse. The Pythagorean theorem states that the square of the length of the hypotenuse (c^2) is equal to the sum of the squares of the lengths of the two legs (a^2 + b^2). This theorem can be written as:
c^2 = a^2 + b^2
This theorem is useful for finding the length of a side given the lengths of the other two sides. For example, if we know the lengths of the legs a and b, we can calculate the length of the hypotenuse c using the formula:
c = √(a^2 + b^2)
Conversely, if we know the length of the hypotenuse c and one leg a, we can find the length of the other leg b using the formula:
b = √(c^2 – a^2)
Right triangles are commonly used in many areas of mathematics, such as geometry, trigonometry, and calculus. They have unique properties and relationships that make them important in various applications, such as determining distances, angles, and slopes in real-world scenarios.
In summary, a right triangle is a triangle with one 90-degree angle. It has two legs and a hypotenuse, and its properties can be analyzed using the Pythagorean theorem.
More Answers:
Understanding the Key Properties and Formulas of Parallelograms: A Comprehensive GuideUnderstanding Acute Triangles: Properties, Angle Relationships, and the Triangle Inequality Theorem
Understanding Obtuse Triangles: How to Identify and Calculate their Angles