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How do you find the angles of a Rhombus given that one diagonal is equal to one of its side?
Wiki User
∙ 13y ago
The important property of a rhombus to note is that a rhombus has all sides of equal length. Then:
Let the vertices be A, B, C, D; let the diagonal BD be the same length as the sides.
Consider the triangle ABD formed by two sides of the rhombus and the diagonal BD. As all sides are equal in length, it must be an equilateral triangle and thus each angle can be calculated, in particular angle BAD of the rhombus.
Consider the triangle BCD formed by the other two sides of the rhombus and the diagonal BD. The angle BCD of the rhombus can also be calculated as above.
For angles ABC and CDA of the rhombus, note that angle ABC is the same as the sum of angles ABD and DBC. and those angles can be calculated above; similarly for angle CDA.
A short cut that can be used is the property of a rhombus that opposite angles of a rhombus are equal which means once angle DAB has been calculate, BCD is then known. Then by subtracting the sum of these from 360o (the sum of the angles of a quadrilateral and a rhombus is an quadrilateral) and dividing the result by 2 will give the other two angles..
Wiki User
∙ 13y ago
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What names is given to a plane figure having equal sides and equal opposite angles?
square or rhombus
What has 4 equal sides bit with angles of unequal measures?
A rhombus would fit the given description because it has 2 equal acute angles and 2 equal obtuse angles that all add up to 360 degrees
What parallelogram with four congruent sides and two pairs of congruent angles?
A rhombus would fit the given description because it has 4 equal sides with 2 equal acute angles and 2 equal obtuse angles.
Which figure has all sides of eqaul measure but not all angles of equal measure?
A rhombus fits the given description
What shape has 4 equal sides 2 acute angles and 2 obtuse angles?
A rhombus would fit the given description which has 2 equal opposite acute angles and 2 equal opposite obtuse angles whereas the 4 angles add up to 360 degrees.
What has Diagonal that bisect opposite angles?
A square, a rhombus or s kite would fit the given description
What names is given to a plane figure having equal sides and equal opposite angles?
square or rhombus
What is a polygon with four equal sides and 4 angles with no right angles?
A rhombus would fit the given description.
4 equal sides its opposite sides are parallel and its angles may be right angles?
A square fits the given description
What if a quadrilateral does not have 4 right angles but two sets of opposite angles the same degree and 4 sides of equal length what would that be?
A rhombus would fit the given description
A quadrilateral with 4 equal sides but with angles of unequal measures?
A rhombus would fit the given description.
What squashed square which has 4 equal sides but no right angles?
A rhombus would fit the given description.
What has 4 equal sides bit with angles of unequal measures?
A rhombus would fit the given description because it has 2 equal acute angles and 2 equal obtuse angles that all add up to 360 degrees
What parallelogram with four congruent sides and two pairs of congruent angles?
A rhombus would fit the given description because it has 4 equal sides with 2 equal acute angles and 2 equal obtuse angles.
How do I find a missing diagonal in a rhombus?
The answer depends on what information you do have about the rhombus. Assuming that you know the length of the sides and one of the diagonals, then,In the triangle formed by the given diagonal and the sides of the rhombus, you know all three sides. So you can use the cosine rule to calculate the angle between the sides of the rhombus.The other pair of angles in the rhombus are its supplement.So now you know two sides and the included angle of the triangle formed by the missing diagonal and the sides of the rhombus.You can use the cosine rule again to find the missing diagonal.
Is a parallelogram with 4 equal sidesbut not necessarily 4 right angles?
It is a rhombus that would fit the given description
Which figure has all sides of eqaul measure but not all angles of equal measure?
A rhombus fits the given description
