The lengths of the sides of a triangle are integers, and its area is a

1.	The lengths of the sides of a triangle are integers, and its area is also integer. One side is21 and the perimeter is 48. Find the shortest side.2 y tn has two linear factors in x and y
Answer» A =√(24(24 - 21)(24 - b)(24 - c)) A =√(2332(24 - b)(24 - c)) A = 6√(2(24 - b)(24 - c)) Let's see if we can figure out what b and c would have to be from here: >b and c have to be integers >b and c have to add to 27 (because the perimeter is 48) >2(24 - b)(24 - c) must be a perfect square (because A has to be an integer)

The lengths of the sides of a triangle are integers, and its area is also integer. One side is21 and the perimeter is 48. Find the shortest side.2 y tn has two linear factors in x and y

Answer»

A =√(24(24 - 21)(24 - b)(24 - c))

A =√(2332(24 - b)(24 - c))

A = 6√(2(24 - b)(24 - c))

Let's see if we can figure out what b and c would have to be from here:

>b and c have to be integers

>b and c have to add to 27 (because the perimeter is 48)

>2(24 - b)(24 - c) must be a perfect square (because A has to be an integer)