The diagonals of the rhombus are 12 cm and 16 cm, then its side is ..

| April 5, 2021 | education

It is known from the condition that the lengths of the diagonals of the rhombus are 12 cm and 16 cm. And we need to find the length of the side of the rhombus.

And we will start by considering a right-angled triangle, which is formed by the side of the rhombus and the halves of the diagonals of the rhombus. The diagonals of the rhombus intersect at right angles.

Apply to find the length of the side of a rhombus as the hypotenuse of a right triangle.

c ^ 2 = a ^ 2 + b ^ 2;

c = √ (a ^ 2 + b ^ 2).

But first of all, we find the legs of the triangle. It is known that the intersection point of the diagonals of the rhombus divides them in half.

12: 2 = 6 cm and 16: 2 = 8 cm of the legs of the triangle.

c = √ (8 ^ 2 + 6 ^ 2) = √ (64 + 36) = √100 = 10 cm side of the rhombus.



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