A right trianglar field has a hypotenuse is fifty m and one side is forty m find the area of the triangle

Try Pythagorean theorem.

40^2 + x^2 = 50^2

Solve for x.

To find the area of a right triangle, you can use the formula:

Area = (1/2) * base * height

In this case, the hypotenuse is given as 50 m and one side is 40 m. We need to find the base and height to calculate the area.

Since it is a right triangle, we can use the Pythagorean theorem to find the missing side.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can find the missing side (the height) as follows:

height^2 + base^2 = hypotenuse^2

Let's substitute the known values:

height^2 + 40^2 = 50^2

Simplifying the equation gives us:

height^2 + 1600 = 2500

Now, we can solve for the height:

height^2 = 2500 - 1600
height^2 = 900

Taking the square root of both sides, we get:

height = √900
height = 30 m

Now, we can calculate the area:

Area = (1/2) * base * height
Area = (1/2) * 40 * 30
Area = 20 * 30
Area = 600 square meters

Therefore, the area of the right triangle is 600 square meters.