What is the ratio of diagonals of a rhombus if one of its diagonal is equals to the sides of the rhombus?

if one of the diagonal of a rhombus is equal to side of the Rhombus prove that it’s diagonals are in the ratio √3:1 to each other.

Is the opposite side of rhombus is equal?

In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles.

Are the diagonals of a rhombus and its sides are equal find the angles of the rhombus?

One of the diagonals of a rhombus is equal to one of its sides. Since the triangle ABC is equilateral and so angle ABC = 60.

How do you find the length of the second diagonal in a rhombus?

A rhombus is formed of 4 congruent right angled triangles, In the present case, each triangle has a side of 6/2 = 3 cm and a hypotenuse = 5 cm. The other leg of the right angled triangle = 4 cm and so the second diagonal = 4*2 = 8 cm. Answer.

What is properties of rhombus?

Convex polygon
Isotoxal figure
Rhombus/Properties

Are all the angles in a rhombus equal?

A rhombus. All sides (marked blue) are of equal length; opposite angles (same color arc) are equal; diagonals cross at right angles. A rhombus or rhomb is a four-sided polygon (a quadrilateral) with sides of equal length. A square is a special case of a rhombus, where all four vertex angles are equal to 90°.

What is the ratio of the diagonal of a rhombus?

If one diagonal of a rhombus is equal to its side, it a rhombus formed of two equilateral triangles with a common base. If s is the side then the other diagonal will be 2*s*sin 60 = s*3^0.5 or 1.732 s. The ratio of the longer diagonal to the shorter one is √3:1.

How do you find the angle of a rhombus?

Angle D =angle ADC=60°. Answer. A rhombus is a quadrilateral with all sides equal. Since one diagonal equals one of the sides, it must equal all the sides. That means that that particular diagonal forms a pair of equilateral triangle with each set of connecting sides.

Is a rhombus a quadrilateral with equal sides?

A rhombus is a quadrilateral with all sides equal. Since one diagonal equals one of the sides, it must equal all the sides. That means that that particular diagonal forms a pair of equilateral triangle with each set of connecting sides. (That is, the shape is essentially two equilateral triangles joined together.

Can a square be a rhombus?

A square can be a rhombus, but a rhombus cannot be a square. No. In a Rhombus diagonals bisects each other And the sides of a rhombs are equal but the length of the diagonals are not equal. It become equal when the angle between the sides are 90 And its a Square!

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