Wednesday, August 19, 2009

Problem on pythagoras theorem

From geometry terms and definitions we know that,
Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle in British English). It states:
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle)
Let's see a heights and distances trigonometry problems


Applying Pythagoras theorem to ΔACF

AF=√(9+9)=√18=√(2*9)=3√2






Now in ΔBAF

BF2 = AB2+AF2

= 32+(3√2)2

= 9+18
BF2=27

BF=√(9*3)= 3√3 units

Similar way we can also find length of base of isosceles triangle

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