Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, line segment GJ , is drawn from the right angle to the hypotenuse. What is the length of line segment GJ ?

In an isosceles right triangle, each leg is the hypotenuse divided by √2, so each leg is 16/√2 = 8√2 units. The altitude from the right angle to the hypotenuse has length (leg × leg) ÷ hypotenuse: (8√2 × 8√2) ÷ 16 = 128 ÷ 16 = 8. So GJ is 8 units, choice A.

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