SOLUTION: Lucas is designing a flower garden in the shape of an isosceles right triangle. He has created a scale diagram. The lengths of the perpendicular sides in the scale diagram are 7 cm

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Question 1107869: Lucas is designing a flower garden in the shape of an isosceles right triangle. He has created a scale diagram. The lengths of the perpendicular sides in the scale diagram are 7 cm, and the hypotenuse of the real garden will be 3 m long. What is the area of the real garden?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
If the hypotenuse of a isosceles right triangle is 3 m, each side is 3/sqrt(2) or 3*sqrt(2)/2 meters.
One of those sides is the base, and the other the altitude.
A=(1/2)bh=(1/2)b^2=(1/2)*(9/2)=9/4 m^2.