In Review Exercises 21 to 30, use the drawings, where provided, to solve each problem, Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit.
The diagonals of a rhombus measure 12 in. and 16 in. Find the measure of the obtuse angle of the rhombus.
The measure of the obtuse angle of the rhombus such that the rhombus measure12 in and 16 in.
In any triangle ABC such that
The Law of cosines is given by
The Law of sines is given by
The length of the diagonals of the rhombus are 12 in and 16 in. Let ABCD be the rhombus such that AC and BD are the two diagonals intersect at ‘O’.
By the property if rhombus, the diagonals are the perpendicular bisector of itself.
Assume that the length of each of the side of the rhombus is ‘’ in.
Consider the triangle AOD of the rhombus.
Apply Pythagorean theorem in the .
Taking square root,
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