a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.
1 answer:
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m=2 and c=3
see the attachment for the detailed solution
Answer:
85 units^2 = Area of Blue Square
and
x = 5 units
Step-by-step explanation:
To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.
Since we know the area of a square is the side length multiplied by itself (or the side length squared), is the side length of the pink square and
is the side length of the green square.
That means a = and b =
, so...
35 + 50 = c^2
85 = c^2
Now we need to square the square root of 85 to find the area of the blue square.
85 units^2 = Area of Blue Square
To solve the other question we use the same formula again.
x = 5 units