# Maths

the acute angles of a rhombus are 76 degrees if the shorter diagonal is of length 8 cm calculate of the sides of the rhombus to the nearest mm

1. Ms Sue pls help

posted by Anita
2. the diagonals of a rhombus right-bisect each other, so
make a sketch and look at the right-angled triangle with angle 38° (half the 76) and leg of 4 cm

The hypotenuse is the side of the rhombus, call it x

sin 38° = 4/x
x = 4/sin38 = appr. 6.487 cm
= appr 65 mm

posted by Reiny

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