Just put 3.150 lol that what I did








I'm not the best at writing, but I can try. so here's an idea:you can have as your scenario something like "On a vase shaped like a rectangular prism is a flower. Knowing that the stem of the flower is the diagonal of the prism, the diagonal of the base is 18 and the sinus of the angle between the stem and the diagonal(of the base) is 4/5, find the stem's length and the height of the vase"
Divide 600 by 3 and get 200
so the possible dimensions would be 200 by 200by 200
Let the legs of the triangle be a and b, and the hypotenuse c.
Your first instinct might tell you to use the Pythagorean theorem to go about solving this because

. This works, but it is slow.
The fastest way to solve this is to recognize that the right triangle is a special triangle where the ratio of the sides are 3:4:5. This means that if the legs are 9 and 12, then the hypotenuse is 15 because 3*3 is 9, 3*4 is 12, and 3*5 is 15.