The hypotenuse of a right triangle is 25m long. The length of one of the legs is 10m less than twice the other. Find the length of each leg.

The dimensions of the length of the legs are 15 m and 20 m in the given right triangle.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Let x be the length of one of the legs. Then the length of the other leg is 2x-10m. We can use the Pythagorean theorem to find the lengths of the legs.

We can write this as an equation:

x² + (2x - 10)² = 25²

5x²- 40x + 100 = 625

5x²- 40x + 100 - 625 = 0

5x²- 40x - 525 = 0

Divided by 5 into the above equation,

x²- 8x - 105 = 0

After solving the above quadratic equation, we get

x = 15 and x = -7

Take x = 15 as the length of one of the legs.

So, the length of the other leg is 2(15)-10 = 20 m.

Thus, the dimensions of the length of the legs are 15 m and 20 m.

Learn more about Pythagoras's theorem here:

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