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maria [59]
3 years ago
14

How do you Calculate the area of a missing square.

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer: Option D

Step-by-step explanation:

Hey there!

Here; Looking at it we can state that it is a Right angled triangle.

<u>And</u><u> </u><u>must</u><u> </u><u>use</u><u> </u><u>the</u><u> </u><u>Pyth</u><u>agoras</u><u> </u><u>relat</u><u>ion</u><u> </u><u>if</u><u> </u><u>the</u><u> </u><u>trian</u><u>gle</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>Right</u><u> angled</u><u> triangle</u><u>.</u>

<u>So</u><u>,</u><u> </u><u>let</u><u>'s</u><u> </u><u>wo</u><u>rk</u><u> on</u><u> </u><u>it</u><u>.</u>

Let ABC be a triangle.

Taking reference angle as C, we get;

perpendicular= 3m

Hypotenuse= 7m

Base = xm

Now;

{h}^{2}  =  {p}^{2}  +  {b}^{2}

or \:   b =  \sqrt{ {h}^{2}  -  {p}^{2} }

<u>Pu</u><u>t</u><u> all</u><u> values</u><u>.</u>

<u>b =  \sqrt{ {7}^{2}  -  {3}^{2} }</u>

<u>Simplify</u><u> </u><u>to</u><u> get</u><u> answer</u><u>.</u>

<u>b =  \sqrt{49 - 9}</u>

<u>b =  \sqrt{40}</u>

<u>Ther</u><u>efore</u><u>,</u><u> </u><u>X=</u><u> </u><u>6</u><u>.</u><u>3</u><u>m</u><u>.</u>

<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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