The base of a right triangle is 2 meters greater than the height. If the area of the triangle is 100 m2, what are the dimensions of the base and the height?

b = 15.2 m

h = 13.2 m

Step-by-step explanation:

The area of a right triangle is given by:

   (1)

Where:

b: is the base

h: is the height

If the base is 2 meters greater than the height we have:

  (2)

And if the area of the triangle is 100 m², the dimensions of the base can be found by entering equation (2) into (1):

By solving the above quadratic equation we have:

And by entering the above value into equation (2) we have:

Therefore, the dimensions of the base and the height are 15.2 m and 13.2 m respectively.

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step-by-step explanation: