The diagonals of a rhombus are 16 cm and 12 cm find the length of the side.
A.
20cm
B.
8cm
C.
14cm
D.
10cm
Correct answer is D
In a rhombus, the diagonals are perpendicular bisectors of each other, and they bisect the angles of the rhombus. This means that a rhombus is essentially made up of four congruent right-angled triangles.
We can use the Pythagorean theorem to find the length of one side of the rhombus (s)
\(s^2 = 8^2 + 6^2\)
\(s^2 = 64 + 36\)
\(s^2 = 100\)
s = \(\sqrt{100}\)
s =10 cm
So, the length of each side of the rhombus is 10 cm.