the sum of legs for a right triangle be 21 and their product is 40. Find the perimeter of this triangle.​

The perimeter of the triangle is 40.

Step-by-step explanation:

The sum of legs for a right triangle is 12:

  (1)

And their product is:

  (2)

By entering eq (1) into (2) we have:

We can find the value of "b" by solving the above quadratic equation.

Since the two values satisfy the equation, we can use either of them to find "a". We will use b₁.      

Now, the hypotenuse of the right triangle is given by:

Hence, the perimeter is:

Therefore, the perimeter of the triangle is 40.

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