Right Triangles And The Pythagorean Theorem: Applications In Construction, Engineering, And Physics

Right Triangle

A three-sided polygon with one right angle and two acute angles.

A right triangle is a type of triangle in which one of the angles is a right angle, or an angle that measures exactly 90 degrees. The other two angles in a right triangle are acute angles or angles that measure less than 90 degrees.

The side opposite the right angle is called the hypotenuse, which is the longest side in the triangle. The other two sides are called the legs of the triangle.

The Pythagorean Theorem is used to find the missing side length of a right triangle. It states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse. This formula is often written 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 real-world applications, including in construction, engineering, and physics. In architecture, for example, right triangles are used to create 90-degree angles in building designs, while in physics, they are used to calculate velocities and forces in projectiles.

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