Right triangle
A triangle that has a 90 degree angle.
A right triangle is a type of triangle that has one angle which measures 90 degrees, also called the right angle. This angle is formed by the intersection of the two sides of the triangle that are perpendicular to each other. The other two angles of a right triangle are always 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 referred to as the legs.
The Pythagorean theorem is a formula that relates the lengths of the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two legs. In equation form, it can be written as:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
Right triangles have several important properties, including:
– The two acute angles of a right triangle are complementary, meaning they add up to 90 degrees.
– The side opposite the larger acute angle is longer than the side opposite the smaller acute angle.
– The lengths of the sides of a right triangle must satisfy the Pythagorean theorem.
– The area of a right triangle can be calculated as half the product of the lengths of the two legs.
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