Question

The length of the shorter diagonal of a rhombus is 16 centimeters. determine the length of the longer diagonal, to the nearest centimeter, if the perimeter of the rhombus is 68 centimeters. a15 centimeters b19 centimeters c30 centimeters d38 centimeters

Answer 1

Answer is C.

Since each side is 68/4 = 17 cm ( the hypotenuse of each right triangle), and half of the shorter diag is 8, then 17^2-8^2 = a^2

225=a^2

15 = a, which is half of the larger dish, so the larger diag is 30cm.