Trignometry with Pythagoras theorem with example

Trignometry
What is angle,vertex, common point? And describe about congruent angles, supplementary angles, complementary angles. Next Pythagoras theorem with definition with formula, and an example for the theorem of Pythagoras theorem to find the hypothesis.

1. TRIGONOMETRY NANDHITHA.K 23-EDM-12 11TH GRADE

2. When two lines meet each other they form a angle. two rays OA and OB sharing the common point O is called the vertex of the angle. Recall the facts B O Vertex A

3. 01 02 03 Two angles that have the exact same measure are called congruent angles. Two angles that have their measures adding to 90 are called complementary angles. Two angles that have their measures adding to 180 are called supplementary angles.

4. WHAT ARE YOU GOING TO LEARN? The Pythagorean Theorem Pythagoras theorem

5. 01 02 The Pythagorean theorem or simply Pythagoras theorem, named after the ancient Greek Mathematician Pythagoras BC 570-495 To find the length of side of right triangle. A right angle triangle is made up of 3 sides, where the 2 sides are a ,b and the third side across the angle is called as hypotheses. 03

6. Statement of the theorem In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. In ∆ABC, BC 2 = AB 2 + AC 2   C A B

7. Consider the triangle given above, Where “a” is the perpendicular, ” b” is the base ,“ c” is the hypotenuse. C A B Hypotenuse 2  = Perpendicular 2  + Base 2   c 2  = a 2  + b 2   

8. EXAMPLE

9. Find the value of x. 6 X 8

10. X is the side opposite to the right angle, hence it is a hypotenuse. Hypotenuse 2  = Base 2  + Perpendicular 2 x 2  = 8 2  + 6 2 x 2  = 64+36 = 100 x = √100 = 10 Therefore, the value of x is 10.