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MAVERICK [17]
2 years ago
10

Select the perfect square. 23 x 23 924 x 429 18 x 19

Mathematics
2 answers:
UNO [17]2 years ago
8 0

Answer:

23 × 23

Reasoning:

A prefect square is a number times itself

The product of the perfect square can therefore be a sqaure root

23 × 23= 529

Then if we square root 529 it would always be a whole number (23)

zhannawk [14.2K]2 years ago
5 0
23x23 because the sides will be even
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Prove that P(2,3), (3, 4), R(5, 6) and S(4,5) are the<br>vertices of a rhombus​
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<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>

Given coordinates to us are ,

  • P(2,3) .
  • Q(3,4).
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  • S(4,5)

Here it is asked to Prove that these are vertices of Rhombus . So we know that all sides of a Rhombus are equal .So if we show that value of all sides lenght are equal , then it will be a Rhombus .

We will use Distance Formula .

Now , here ,

<u>Dista</u><u>nce</u><u> </u><u>betwe</u><u>en</u><u> </u><u>P</u><u> </u><u>and</u><u> </u><u>Q</u><u> </u><u>:</u>

⇒ x = √ (2 - 3)² + (3-4)² .

⇒ x = √ (-1)² + (-1)² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

<u>Dista</u><u>nce</u><u> </u><u>betwee</u><u>n</u><u> </u><u>Q</u><u> </u><u>and</u><u> </u><u>S</u><u> </u><u>:</u>

⇒ x =√ [ (3-4)² + (5-4)².

⇒x = √ 1² + 1² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

Similarly we can prove other distances equal.

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