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omeli [17]
2 years ago
5

4.4 The three circles are fitted into a rectangle like in the figure below. The radius of the bigger Is 5 unit and the radius of

the smaller circles is 4. D Determine the length of rectangle of the rectangle. (Hint: MB-AN, MN is a straight line, P is The point of intersection of the two circles.)​

Mathematics
1 answer:
statuscvo [17]2 years ago
8 0

The height of the parallelogram is 6.4 m.

<h3>What is a parallelogram?</h3>

A parallelogram is a quadrilateral. Let us recall that a quadrilateral is a four sided figure. It is also important to recall that the opposite sides of a parallelogram are equal.

Let us now try to find the height of the parallelogram;

Given that;

/DE/ = /AC/

10 = /BC/ + /AB/

/AB/ = 10 -  /BC/

/AB/ = 10 - 6

/AB/ = 4 cm

Then;

/AE/= /CD/ = 5 cm

Using the Pythagoras theorem;

/EB/^2 = /AE/^2 + /AB/^2

/EB/ = √/AE/^2 + /AB/^2

/EB/ = √(5)^2 + (4)^2

/EB/ = √ 25 + 16

/EB/ = 6.4 m

Learn more about parallelogram:brainly.com/question/1563728

#SPJ1

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