THE LAW OF PYTHAGORAS

The Law of Pythagoras is the square of the hypotenuse of a right triangle equals the sum of the

1. RIGHT TRIANGLE- triangle having one right angle.

2. HYPOTENUSE- The hypotenuse of a right triangle is the side opposite the right angle.

3. LEG- The leg of a right triangle is a side opposite an acute angle of a right triangle.

d ABC is a right triangle.

Example:

1. Given: a = 10; b= 7 Problem: find c.

3. Proof of a 3,4,5 triangle.

A right triangle can be constructed by making the sides 3, 4, and 5. We can prove it by the Law of Pythagoras.

Since values of 3,4, and 5 satisfy the equation, we may conclude that the statement above is correct.

4. Application of the Law of Pythagoras Given a right triangle ABC:

Prove that the area of a circle of a diameter of side c is equal to the sum of the areas of circles whose diameters are sides a and b.

area circle diameter c = area circle diameter a + area circle diameter b.

Then:

Since this is the rule of the right triangle, the above statement is true.

Example:

In the Y branch shown, the areas of the two branches must equal the area of the main. By the above proof, if the two known diameters are considered to be legs of a right triangle, the hypotenuse will be the diameter of the main.

Privacy Statement - Press Release - Copyright Information. - Contact Us - Support Integrated Publishing