1
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Let's do this question the length of one of the diagonals of a rectangle whose sides are ten and twenty

2
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five, twenty four centimeter is all right.

3
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Both the video give it a try and then let's do it together.

4
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All right.

5
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Let's do it together.

6
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Let's start drawing a rough sketch over here.

7
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We have a rectangle and let this be the diagonal.

8
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Now, it's given that the sides are 10 centimetre and twenty four centimeter, respectively.

9
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Now, over here, we know that in the case of a rectangle, this angle is equal to 90 degree because

10
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every internal angle is equal to 90 degrees in a rectangle, as per definition to ASPO Pythagoras Theorem.

11
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We can see that in this right angle triangle, this square is equal to ten squared plus twenty four

12
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square.

13
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Right.

14
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Ten square gives you one hundred and twenty four square gives you remember how to do squares.

15
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So you have three places you do four square.

16
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That's sixteen.

17
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Right.

18
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So you get six over here.

19
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One is carryforward, two into four gives eight, 18 to 16.

20
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Sixteen plus one is 17.

21
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So you write seven over here and one is carryforward for two.

22
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Square is four plus one is five to twenty four square is five seventy five.

23
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Seventy six for this square is equal to hundred plus five seventy six.

24
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That's equal to six hundred seventy six.

25
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What is equal to square root of six hundred seventy six.

26
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That's true.

27
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The prime factorization over here.

28
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Well, well here you have two twos and two thirteenth.

29
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Therefore this is equal to two in the thirteen which is equal to twenty six centimeters.
