We are given in rhombus that height is equal and diagonal . Find length of a rhombus side , other diagonal all inner angles.
Nice picture! Calling the vertex at (0,0) "A" and going around counter clockwise, labeling vertices A, B. C, D, then where is angle BAD. Further, triangle ABC is an isosceles triangle with base angles and two sides of length a. By the "cosine law", the length of the third side, the diagonal AC is given by . That gives two equations,
and to solve for a and .
@HallsofIvy,
I have a question. How can be the side , if is a hypotenusis? Isn't it ?
And cosine-law, I got: ? Made I mistake, where ?