Question

If the lengths of the diagonals of a rhombus are 16 and 18, find the perimeter of the rhombus. Estimate your answer to two decimal places.

Answer 1

So since the diagonals are of a rhombus the bisect each other.

Answer 2

They are also perpendicular

Answer 3

If you draw the diagram you can see they form 4 right triangles.

Answer 4

the legs of each triangle are 8 and 9.

Answer 5

Solve for the hypotenuse and multiply by 4 to get the perimeter.

Answer 6

All sides of a rhombus are congruent

Answer 7

is the hypotenuse \[\sqrt{145}\]

Answer 8

yes