A triangle inside a rectangle has a leg of 208 m, a left side of 105, the hypotenuse is 233, what is the area of the rectangle?

Answer 1

To find the area of the rectangle, we first need to determine the height of the triangle inside the rectangle. This can be done using the Pythagorean theorem:

a^2 + b^2 = c^2

Where a and b are the legs of the triangle and c is the hypotenuse. In this case, one leg is 105m and the hypotenuse is 233m:

105^2 + b^2 = 233^2
11025 + b^2 = 54289
b^2 = 43264
b = √43264
b = 208m

Now that we have the height of the triangle, we can find the area of the rectangle:

Area = base * height
Area = 105m * 208m
Area = 21840 sqm

Therefore, the area of the rectangle is 21840 square meters.