contestada

The diagonals of rhombus WXYZ intersect at point P. If WP = 12 and XP = 5, find the perimeter of the rhombus.

Respuesta :

A rhombus is a geometrical figure wherein the diagonals intersect making a right angle. Given that the sides of the formed triangles from the intersection are 12 and 5, calculate the hypotenuse using the Pythagorean Theorem.
 
                                    c^2 = 12^2 + 5^2

where c is the length of hypotenuse. c then is 13. The hypotenuse is also the measure of four equal sides of the rhombus. Multiply this value by 4 to obtain the perimeter. Thus, the perimeter of the rhombus is 52 units.