A rhombus has diagonals of length 12 cm and 7 cm respectively.

Question

Find the larger angle of the rhombus. [Hint: The diagonals of a rhombus bisect
each other at right angles.]

Answer 1

so you have four congruent triangles, with sides 6 and 3.5
That makes the larger angle of each triangle θ such that
tanθ = 6/3.5
so θ = 59.7°
That makes the larger angle of the rhombus 2θ = 119.4°