D.KNOWING THAT THE GATE IS SQUARE AND THE DIAGONAL IS 30 2, THE PY...

76. d.Knowing that the gate is square and the diagonal is 30 2, the Pythagorean theorem can be usedwith xas the side of the square.x

²

+ x

²

= (30 2 )

²

. Or you may recall that the length of a leg will be

302

2

because it is an isosceles triangle. Thus, statement (2) is sufficient. Since statement (1)

2

2

30gives the width and the gate is a square, then the height is the same as the width. Either statement issufficient.