Question

sum of the prependicular sides of a right triangle is 21cm, hypotenuse is 15 cm.Find the length of the prependicular sides.​

Answer 1

Given the sum of perpendicular sides = 21

Let one side be x then the other side is 21 - x

And hypothenuse is 15 cm

By Pythagoras theorem

 $15^2 = x^2 + (21-x)^2\\225 = x^2 + 21^2 +x^2 -42 x\\2x^2 -42x +216 = 0\\x^2 - 21 x +108=0$

$x^2 -9x -12x +108\\(x-9)(x-12)$

On solving the equation we get x = 9 and x = 12

So the lengths of the perpendicular sides are 9cm and 12 cm

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Answer 2

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