Math, asked by geetagupta8533, 5 months ago

Look at the pattern and fill in the blanks:
1 {}^{2}  + 2 {}^{2}  + 2 {}^{2}  = 3 {}^{2}   \\   2 {}^{2}  + 3 {}^{2}  + 6 {}^{2}  = 7 {}^{2}  \\ 3 {}^{2}  + 4 {}^{2}  +   ..... = 13 {}^{2}  \\ 4 {}^{2} ..... + 20 {}^{2}  = 21 {}^{2}  \\ 5 {}^{2}  + 6 {}^{2}  + 30 {}^{2}   = .....

Answers

Answered by yogesharma1977
0

Answer:

Step-by-step explanation:

3^2+4^2+12^2=13^2

4^2+5^2+20^2=21^2

5^2+6^2+30^2=31^2

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Answered by BengaliBeauty
47

Answer:-

Examples(as given in the question):-

1²+2²+2²=3²

2²+3²+6²=7²

Now after reading this examples let's understand the logic behind it

Let a and b be the first two numbers

a²+b²+ab²=(ab+1)²

So according to this logic let's complete the rest of the pattern

3²+4²+ 12² =13²

4²+ 5² +20²=21²

5²+6²+30²= 31²

@BengaliBeauty

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