Question
One diagonal of a rhombus makes a 27 degree angle with a side of the rhombus. If each side of the rhombus is 6.2 inches find the length of each diagonal to the nearest tenth.
Answers
oobleck
Let the rhombus have vertices ABCD.
If ∡BAC = 27° then ∡BCA = 27° and ∡ABC = 126°
So, you can use law of sines or law of cosines to find AC.
Now, knowing that ∡BAD = 54° (why?), you can follow similar steps to find BD.
If ∡BAC = 27° then ∡BCA = 27° and ∡ABC = 126°
So, you can use law of sines or law of cosines to find AC.
Now, knowing that ∡BAD = 54° (why?), you can follow similar steps to find BD.