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

1 thought on “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”

1. Answer:

   20 or 15

   Step-by-step explanation:

   Let the one side of triangle be x cm

   the other side be (x-5)cm

   ATP

   x to the power 2 + (x-5) to the power 2= 625

   x to the power 2+ x to the power 2- 10x+25=625

   2x to the power 2 – 10x+ 25-625=0

   2(x to the power 2-5x+300)=0

   x to the power 2-(20-15)x + 300=0

   x to the power 2-20x+15x +300=0

   x(x-20)-15(x-20)=0

   (x-20)(x-15)=0

   IF

   x-20=0

   x=20

   EITHER

   x-15=0

   x=15

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