Question

Pqrs is a rhombus. Find x, y and z. Justify your finding.

Answer 1

x = 4, y = 2√21, z = 10

Explanation:

Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.