Asked by jessa
Each side of a rhombus is 5 inches long and the shorter diagonal is 4 inches. Find the angle of the rhombus and the longer diagonal.
Answers
Answered by
Reiny
Use the fact that the diagonals of a rhombus right-bisect each other, so you will have 4 identical right-angled triangles.
Use x^2 + 2^2 = 5^2 to find half of the longer diagonal.
Use cosØ = 2/5 to find the base angle Ø of the triangle.
Use x^2 + 2^2 = 5^2 to find half of the longer diagonal.
Use cosØ = 2/5 to find the base angle Ø of the triangle.
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