Question

The length of each side of a rhombus is 16. The longer diagonal has length 26. Find the measures of the angles of the rhombus to the nearest degree.

Answer 1

@phi

Answer 2

First, refresh your memory on the properties of a rhombus
http://www.mathsisfun.com/geometry/rhombus.html

Answer 3

The key property is the last one they mention.

Answer 4

First step, can you draw a picture for this problem ?

Answer 5

yes, but add the other diagonal


if you made all 4 sides the same length (as they really are) the picture would look better.
The key fact is that the diagonals form a right angle, and bisect each other.
that means we have 4 identical right triangles.