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Q2. The hypotenuse of a right-angled triangle is 17 cm and the difference between other two sides is 7 cm. find the other two unknown sides.


  1. (a) 8, 15           

  2. (b) 8, 7

  3. (c) 7, 15           

  4. (d) 9, 15


Solution

The correct option is A

(a) 8, 15           


let the shorter side be ‘x’ cm. Since, the difference between two sides is 7 cm, So, longer side would be (x+7)cm

As the right-angle has hypotenuse = 17 cm by using Pythagoras theorem, we get

x2+(x+7)2=(17)2 or x2+x2+14x=49=289or x2+7x120=0

x = -15 and x = 8, but ‘x’ cannot be negative. Therefore, one side = 8 cm and other side (8+7) = 15 cm.

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