Question

Each side of a rhombus measures 10 inches. If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal?

Answer 1

`16` inches

Explanation:

The diagonals of a rhombus intersect orthogonally, dividing the rhombus into `4` right angled triangles, in this example four `6-8-10` triangles (twice the size of `3-4-5` triangles).

graph{((3x+4y)^100+(3x-4y)^100-2*(24^100))(sqrt(64-x^2)/sqrt(64-x^2))y(sqrt(36-y^2)/sqrt(36-y^2))(x+0.0001y) = 0 [-15.8, 15.81, -7.9, 7.9]}