Asked by Efe
A rhombus of side 10cm has obtuse angles 110 degrees. Sketch the rhombus, showing it’s diagonals and as many angles as possible. Hence calculate the lengths of the diagonals of the rhombus
Answers
Answered by
oobleck
Not sure where you're getting these legs of length 5 cm.
The diagonals of the rhombus for four congruent right triangles; the sides of the rhombus are the hypotenuses of these right triangles. If the diagonals have length 2x and 2y, then
x = 10 cos55°
y = 10 cos35°
That means the diagonals have length 16.38 and 11.47
The diagonals of the rhombus for four congruent right triangles; the sides of the rhombus are the hypotenuses of these right triangles. If the diagonals have length 2x and 2y, then
x = 10 cos55°
y = 10 cos35°
That means the diagonals have length 16.38 and 11.47
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