One diagonal of a rhombus is three times as long as the other diagonal. If the area of the rhombus is 54 square millimeters, what are the lengths of the diagonals?

Question

asked Jul 27, 2023 11.1k views

1 Answer

CppLearner · Answer 1 · 2023-08-01T05:48:50+0000

Answer:

Assume one diagonal of 2x and other of x inches. and sides of length =L inches.

Area of rhombus = 2*2x*x/2=2x^2 = 81 x=9/sqrt.2 and 2x=9*sqrt 2.

Diagonals are x=6.365 inch 2x=12.73 inch check area =12.73*6.365= 81.026 sq.inch.

Explanation: