right triangle
A right triangle is a type of triangle in which one of its angles is a right angle, or 90 degrees
A right triangle is a type of triangle in which one of its angles is a right angle, or 90 degrees. As a result, the remaining two angles are acute, meaning they are less than 90 degrees. The side that is opposite the right angle is called the hypotenuse, while the other two sides are referred to as the legs.
The Pythagorean theorem is a fundamental property of right triangles. It states that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs. Mathematically, this is represented as a^2 + b^2 = c^2, where ‘a’ and ‘b’ are the lengths of the legs and ‘c’ is the length of the hypotenuse.
Right triangles have various applications in geometry and trigonometry. They are particularly useful for solving problems involving measurements, distances, angles, and heights. Some common examples include finding the height of a building using trigonometry, calculating the distance between two points using the Pythagorean theorem, or determining the length of a ramp needed to reach a certain height.
In summary, a right triangle is a triangle with one right angle and two acute angles. It has a specific relationship between its sides known as the Pythagorean theorem, which allows for various calculations and problem-solving in mathematics.
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