The hypoenuse of a right triangle is 25 cm. We know that the difference in lengths of the other two sides is 5 cm. We would like t

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1. Gíνєn :

   • The hypoenuse of a right triangle is 25 cm.

   • We know that the difference in lengths of the other two sides is 5 cm.

   Tσ Fínd :

   • Length of Two sides

   Sσlutíσn :

   ✩ Here in the Question we are given Hypotenuse of traingle 25cm i.e Shorter side. so, let the short side be 25cm. and Difference in Lengths of other two sides is 5 cm. Let the Longer side be x + 5 cm. By using Pythagoras theorem We will find the Required Length of the sides of the right Triangle

   • Let Shorter Side = x cm
   • Longer Side = (x + 5) cm

   Using pythagoras theorem

   ➢ (x)² + (x + 5)² = (25)²

   ➢ x² + x² + 10 = 625

   ➢ 2x² + 10x – 600 = 0

   ➢ x² + 5x – 300 = 0

   ➢ (x + 20) (x – 15) = 0

   Now, Value of x

   ➢ x + 20 = 0

   ➢ x = -20 (Reject)

   ➢ x – 15 = 0

   ➢ x = 15

   ____________

   • Shorter Side = 15cm

   • Longer Side = 15 + 5 = 20cm

   ∴ Length of two sides is 15 and 20cm.

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