Slide 1

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 triangleTHE PYTHAGOREAN THEOREMHypotenuseLegLegTheorem : the square of the length of the hypotenuse is equal to the sum of the square of the lengths of the two legsabc

THE DISTANCE FORMULATo find the distance between two points A and B in the coordinate plane we can use the pythagorean theoremXY0AB3 6 155 1 = 46 3 = 3

SPECIAL RIGHT TRIANGLE1. Isosceles right triangel (450- 450- 900)450450xxhyp

Given points A and B , find the distance between point A and B

XY0BA

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

Back2p cm6002. Right triangle has acute angles measuring 30 and 60 (300- 600- 900)DABC600600Let : ABC equilateral triangle

2p cm2p cm300p cmp cmBD600300C2p cmp cm

BD600300CHypShort LegLong LegHypotenuse = 2 x Short LegLong Leg = Short Leg x

450x5 ccmy2.6005 cmxy3.4506 cmxy4.30012 cmxyy5.300x1.

Exercise : find the value of x and y !

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