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nekit [7.7K]
3 years ago
14

How does the area of the triangle relate to the area of the square? Please Explain!!! I really don't get it!

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
A square has 4 right angles and 4 equal sides.
If you draw a diagonal through the square then you get two right triangles. So the area relation between a square and a right triangle is going to be half. The area of the triangle is half the area of the square. 

Also the formula for area of a square is length times width.
And the formula for the area of a right triangle is 0.5 times length times width.

So if you set up the equation (let's use * as multiplication symbol ): 

Area of a Square : Area of a Right Triangle
length * width : 0.5 * length * width
(Divide by length * width on both sides)
1:0.5 or 2:1
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timama [110]
<h3>Answer:   c = 7/4</h3>

================================================

Work Shown:

Compute the function value at the endpoints

f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\

With a = -5 and b = 4, we have

f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\

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f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\

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