First, some properties of a rhombus:
1. a rhombus is a parallelogram with all sides equal.
2. diagonals of a rhombus intersect at right angles.
If the perimeter of a rhombus is 40cm, then each side is 40cm/4=10 cm. (propert 1).
Half-diagonals of a rhombus form a right triangle with the side (property 2). Draw a diagram to confirm that the sides of the right triangle are in the ratio 3x, 4x, 5x where x is not yet known.
We also know that 5x=10 cm, so x can be found, and hence all sides and diagonals.
the diagonals of a rhombus are in the ratio 3:4. if its perimeter is 40cm then find the length of the sides and diagonals of the rhombus
1 answer
1 answer