Math, asked by suvan, 1 year ago

side of square is 2 cm what is its diaogonal

Answers

Answered by sneha100

the diagonal is also 2 cm

suvan: will you explain

Acc11: Yes sure

Acc11: Listen

Acc11: Formula of diagonal of a square if side is given is side*2✓2

Acc11: Sorry side*✓2

Acc11: Now questions arises who generalised it? Right

Acc11: This equation was derived from phythagoras theorem of triangles

Acc11: which explains that in a triangle side² +side²=hypotenuse ²

Acc11: where hypotenuse is that side opposite to 90° angle i.e. longest side

Acc11: and side is other two side adjacent to 90°

Answered by Acc11

We will take square as two right angled triangles. Hence, by phythagoras theorem,
(side)²+(side)²=(diagonal)²
Hence,
(2)²+(2)²=(diagonal)²
4+4=(diagonal) ²
✓8=diagonal
Hence, diagonal is √8 or 2√2
Hope it may help

suvan: well diaogonal is root 2 into side right then it root 2 into 2 root 4 = 2

suvan: what u say

Acc11: No

Acc11: And Yes

Acc11: Formula is correct. Calculation is wrong.

Acc11: 2✓2

Acc11: 2=✓2*✓2

Acc11: Hope you are understanding

Acc11: Hope it may help

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