Question

What are the properties of a right-angle triangle?

Answer 1

Properties of a right-angle triangle:

The important properties of a right-angled triangle are as follows:

• The measure of exactly one angle in a right triangle is $90°$.
• The angles other than the right angle are acute angles.
• The sum of the other two angles of a right-angled triangle is $90°$.
• The opposite side of a right angle is known as the hypotenuse and is the longest side of the triangle.
• The other two sides adjacent and opposite to the right angle are called base and perpendicular.
• The circumcircle of the right triangle passes through all three vertices, and the radius of this circle is equal to half of the length of the hypotenuse.
• The square of the hypotenuse is equal to the sum of the squares of the other two sides.