Area of right angle triangle is 24cm2

and perimeter is 24cm. Find the lengths

of sides of triangle ?​

1 thought on “Area of right angle triangle is 24cm2<br /><br />and perimeter is 24cm. Find the lengths <br /><br />of sides of triangle ?​”

1. Answer:

   Let x cm be the one of the sides, then (x−2)cm be another side.

   Area of triangle =24cm

   2

   (given)

   We know, Area of triangle =

   2

   1

   (Base×height)

   ⇒24=

   2

   1

   ×x×(x−2)

   ⇒48=x

   2

   −2x

   or x

   2

   −2x−48=0

   Solving above equation, we have

   (x+6)(x−8)=0

   x=−6 or x=8

   Since length measure cannot be negative, so neglect x=−6

   One side =8cm

   Another Side =x−2=8−2=6cm

   Apply Pythagoras theorem:

   Hypotenuse

   2

   = Base

   2

   + Perpendicular

   2

   Hypotenuse

   2

   =

   (8

   2

   +6

   2

   )

   Hypotenuse =

   100

   =10

   Therefore, perimeter of triangle = Sum of all the sides =(6+8+10)cm=24cm

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