Question

the hypothense of a right. triangle is 25cm.we know that the difference in lengths of the other two sides is 5cm.we would like to find out the length of the two sides​

Answer 1

Answer:

Let the length of smaller side be x cm. Then length of larger side = (x + 5) cm. Given length of hypotenuse = 25cm. Value of x from the above equation will give the possible value of length of sides of the given right angled triangle.

Step-by-step explanation:

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Answer 2

Answer:

One side is 20 units and the other is 15 units.

Step-by-step explanation:

Let one side = x

therefore, the other side = x-5

Pythagoras theorem

x² + (x-5)² = 25²

2x² - 10x + 25= 25²

or, 2x² - 10x - 600 = 0     (Solve 25²-25)

or, x² - 5x -300 = 0

or, x² - 20x + 15x -300 = 0 (split the middle term)

or, x(x-20)+15(x-20) = 0

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

Either x = -15 which is not possible because a side of a triangle cannot be negative

or x= 20 units, which is correct.

Therefore, the other side is x-5 = 20 -5 = 15 units