1. Given: a = 10; b= 7
Problem: find c.
2. Given: C = 50; b = 40
Problem: find a
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
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.
Since this is the rule of the right triangle, the above
statement is true.
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