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Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, Line segment G J, is drawn from the right angle to the hypotenuse.
What is the length of Line segment G J?
2 units
4 units
6 units
8 units
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Answered by
GPT-5 mini
AI
8 units
Reason: In a 45-45-90 triangle the legs are 16/√2 = 8√2. The altitude from the right angle to the hypotenuse is h = (leg·leg)/hypotenuse = (8√2·8√2)/16 = 128/16 = 8.
Reason: In a 45-45-90 triangle the legs are 16/√2 = 8√2. The altitude from the right angle to the hypotenuse is h = (leg·leg)/hypotenuse = (8√2·8√2)/16 = 128/16 = 8.
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