Question

the hypotenuse of a right triangle is 25 CM the difference between the length of the other two sides is 5 centimetre find the length of the other two sides​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

Let the length of the shorter side be x cm.

➔ ( difference is 5)

➔ ( larger num - shorter num = 5)

➔( longer side – x = 5)

➔(longer side = x +5 )

Then, the length of the longer side = (x+5) cm

By Pythagoras theorem,

x² + (x + 5 )² = 25²

x² + x² + 10x + 25 = 625

2x² + 10x +25 - 625 = 0

2x² + 10x - 600 = 0

x² + 5x – 300 = 0

(x – 15) (x + 20) = 0

This gives x = 15 or x = - 20

Rejecting x = -20, we get x = 15

Since length can never be negative,

Therefore, x=15

Also, other side will be=x +5=15 +5=20

Hence the sides of the triangles are 15 and 20