Question

In the given figure, ABC is a triangle. Write all possible ratios by taking measures of sides pair wise.
(Hint : Ratio of AB : BC = 8 : 6)

Answer 1

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Given triangle ABC

Right angle at B

=> Side of the perpendicular / side of the base

= AB/BC

= 8: 6

=> Side of the perpendicular / Hypotenuse or the opposite side of the perpendicular

=AB/AC

= 8:10

=> side of the base / Hypotenuse and the side opposite to perpendicular

= BC / AC

= 6: 10

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Answer 2

Solution :

Given ∆ABC ,

AB = 8cm ,

BC = 6 cm ,

CA = 10 cm,

i ) AB/BC = 8cm/6cm = 4/3

AB : BC = 4 : 3

ii ) BC : AB = 3 : 4

iii ) BC : CA = 4/10 = 2/5

=> BC : CA = 2 : 5

iv ) CA : BC = 5 : 2

v ) CA : AB = 10 : 8 = 5 : 4

vi ) AB : CA = 4 : 5

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