Find the length of side of a square whose diagonal is 10 cm.
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Find the length of side of a square whose diagonal is 10 cm.
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Answer:
Given the length square of diagonal is 10 cm
Then area of square=A=
2
(d)
2
=
2
(10)
2
=
2
100
=50cm
2
Since we're dealing with a square, all side lengths measure the same thing. Furthermore, the angle B and D are right, therefore allowing us to use pythagorean theorem to find the value of a.
Where a and b are the right containing sides
Since a and b are equal,we consider them as a
c is the Hypotenuse of the right-triangle
The diagonal is the Hypotenuse c
So, the side lengths measure 5√2 or 7.07 units each.