-If the diagonals of a rhombus measure 10 cm and 24 cm, what is the perimeter of the rhombus?
A) 13 cm
B) 34 cm
C) 52 cm
D) 68 cm

Question

-If the diagonals of a rhombus measure 10 cm and 24 cm, what is the perimeter of the rhombus?
A) 13 cm 
B) 34 cm 
C) 52 cm 
D) 68 cm

Quizplus · Accepted Answer

The diagonals of a rhombus bisect each other at right angles. Therefore, each side of the rhombus can be found using the Pythagorean theorem, with half of each diagonal as legs of a right triangle. Half of 10 cm is 5 cm, and half of 24 cm is 12 cm. The length of one side is the square root of (5^2 + 12^2) = sqrt(25 + 144) = sqrt(169) = 13 cm. Since all sides of a rhombus are equal, the perimeter is 4 times the length of one side, which is 4 * 13 cm = 52 cm.

-If the Diagonals of a Rhombus Measure 10 Cm and 24