1.

The perimeter of a right angle triangle is 30 cm and it's hypotenuse is 13 cm .find the other two side

Answer»

Sum of other TWO SIDES = 30 - 13 = 17 cm

Then, let the sides as ( x ) and ( 17 - x )

By PYTHAGORAS theorem,

( x )² + ( 17 - x )² = 13²

x² + 289 + x² - 34x = 169

2x² + 120 - 34x = 0

x² - 17x + 60 = 0

x² - 12x - 5x +60 = 0

x( x - 12 ) + 5( x - 12 ) = 0

( x - 12 )( x + 5 ) = 0

By Zero Product Rule,

x = 12 [ positive value ]

Other side = 17 - 12 = 5 cm

.

Other sides = 12 cm and 5 cm

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