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Presentation transcript:

a c b Created by ﺠﻴﻄ for mathlabsky.wordpress.com

In a right triangle, the side opposite the right angle is longest side.It is called the hypotenuse, the other side are called the legs of the triangle Hypotenuse Leg Theorem : the square of the length of the hypotenuse is equal to the sum of the square of the lengths of the two legs a b c

Exercise : find the length of the unknown side 6 cm 10 cm cm 16 cm 3. 8 cm 12 cm 15 cm cm 5. 7 cm 5 cm 1. Back

To find the distance between two points A and B in the coordinate plane we can use the pythagorean theorem X Y 0 A B 3 ● 6 ● ●1●1 ●5●5 5 – 1 = 4 6 – 3 = 3

Given points A and B, find the distance between point A and B X Y 0 B A

Exercise : find the distance between each pair of point! 1.A(1, 2), B(4, -2) 2.P(-1, 7), Q(2, -3) 3.R(0, -6), S(-3, 4) 4.K(-3, -4), L(6, 2) 5.M(-2, -4), N(-6, -3) Back

1. Isosceles right triangel ( ) 45 0 x x hyp

2p cm Right triangle has acute angles measuring 30 and 60 ( ) D A B C 60 0 Let : ∆ABC equilateral triangle 2p cm 30 0 p cm B D C 2p cm p cm B D C Hyp Short Leg Long Leg Hypotenuse = 2 x Short Leg Long Leg = Short Leg x

45 0 x 5 ccm y cm x y cm x y cm x y y x 1. Exercise : find the value of x and y ! Back