Mathematics High School

ABCD is a kite, so AC I DB and DE= EB. Calculate the length of AC, to
the nearest tenth of a centimeter.
B
с
E
A
4 cm
3 cm
4 cm

ABCD Is A Kite, So AC I DB And DE= EB. Calculate The Length Of AC, Tothe Nearest Tenth Of A Centimeter.BEA4

Answers

Answer 1

The length of the side AC will be equal to 5.69 cm

What is quadrilateral?

A figure consisting of four sides connected together and forming a total angle of 360 degrees is called a quadrilateral.

Given that:-

ABCD is a kite, so AC I DB and DE= EB.

AD = 4 cm BD = 4 cm and CD = 3 cm.

The side AC will be calculated as:-

Since AC is bisecting the line BD so BE = ED and BE = 2 cm and ED = 2 cm. WE have AD = 4 cm so we will calculate AE first by using the Pythagorean theorem.

AE² = AD² - ED²

AE² = 4² - 2²

AE² = 16 - 4 = 12

AE = √12 = 3.46 cm

Similarly, we will find the value of EC.

EC² = 3 ² - 2²

EC² = 9 - 4 = 5

EC = √5 =2.23

WE know that AC = AE + EC

AC = 3.46 + 2.23

AC = 5.69 cm

Therefore the length of the side AC will be equal to 5.69 cm

To know more about quadrilaterals follow

https://brainly.com/question/16691874

#SPJ1

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-------------------

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Answers

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