Question 772415: 1. How do you find the area of a square given its diagonal?
2. How do you get the measurement of a right triangle given its base and height?
3. How do you get the area of a trapezoid whose height is 14cm, and whose bases are 23 cm and 13cm respectively???
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
The diagonal of a square is the hypotenuse of an isosceles right triangle with two adjacent sides of the square forming the legs of the triangle. Let  represent the measure of the given diagonal. Let  represent the measure of the side of the square. Mr. Pythagoras said, if you recall, that the square of the hypotenuse,  in this case, is equal to the sum of the squares of the other two sides, that is  in this case, so:
Multiply by 
But  is the area of the square, so to find the area of a square given the measure of a diagonal, square the diagonal and divide the result by 2.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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