Some numbers are given below.
$28, 30, 36, 45, 56, 66, 81, 120, 121, 156$
Which of the given numbers can be shown as Triangles.

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Solution

Given $28, 30, 36, 45, 56, 66, 81, 120, 121, 156$
From the given numbers,
$28 = 1 + 2 + 3 + 4 + 5 + 6 + 7$
$36 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8$
$45 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9$
$66 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11$
$120 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15$
Hence, $28, 36, 45, 66, 120$ can be written as Triangular numbers.

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Some numbers are given below.

$28, 30, 36, 45, 56, 66, 81, 120, 121, 156$

Which of the given numbers can be shown as Squares.

Some numbers are given below.

$28, 30, 36, 45, 56, 66, 81, 120, 121, 156$

Which of the given numbers can be shown as Rectangles.

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