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ballin3294
02.03.2021 •
Mathematics
What is the area of a square if the half of the diagonal is 6
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Ответ:
72
Step-by-step explanation:
Cut the square into two equal triangles along the diagonal
You know that half of the diagonal is 6 so multiply that by 2 to get 12 which is the hypotenuse of your triangles
Then use the pythagorean theorem to solve for the sides
a^2 + b^2 = 12^2
a^2 + b^2 = 144
Since the original shape was a square both sides a and b are equal
a^2 = b^2
a^2 + a^2 = 144
2a^2 = 144
a^2 = 144/2
a^2 = 72
a =![\sqrt{72}](/tpl/images/1161/0962/36c1d.png)
Since a = b then a =
=b
Multiply both sides a and b to get the area of the square
Ответ: