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3 years ago

The diagonals of a kite are in the ratio 3 : 2. The area of the kite is 27cm(squared). find the length of both diagonals.

Mathematics

1 answer:

alina1380 [7]3 years ago

6 0

$P= 27 \ cm^2 \\ \\P=\frac{1}{2} e * f \\ \\ f =3x , \ e = 2x \\ \\27=\frac{1}{2}*2*3x \\ \\27=3x/:3$

$x=3 \\ \\ f =3x =3 *3= 9 \ cm \\ \\ \ e = 2x = 2*3 = 6cm$

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Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

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step 1

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$m=\frac{0+2}{1+3}$

$m=\frac{2}{4}=\frac{1}{2}$

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$y-y1=m(x-x1)$

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substitute

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step 2

Find the slope between (-2, -1) and (4, 2)

$m=\frac{2+1}{4+2}$

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Find the equation of the line

$y-y1=m(x-x1)$

with m and the point (4,2)

substitute

$y-2=\frac{1}{2}(x-4)$

$y=\frac{1}{2}x-2+2$

$y=\frac{1}{2}x$

<em>Compare the equation of the two lines</em>

The two lines are parallel, because their slope is the same, but are different lines

therefore

Beatrice's conclusion is incorrect

All of these points are not on the same line, because are different parallel lines

The slope between (-2,-1) and (1,0) is equal to $\frac{1}{2}$

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:)