How do you find the other diagonal of a rhombus?

If one diagonal of a rhombus is known along with the area of the rhombus, then the other diagonal can be calculated using the formula, p = (2 × Area)/q, where ‘p’ and ‘q’ are the two diagonals of the rhombus. The given values of the area and one diagonal can be substituted to get the length of the other diagonal.

Can we construct a rhombus if one side and one diagonal are given?

Construct a rhombus given one side and one diagonal With B as the centre and radius equal to 5.4 cm , draw an arc. With A as the centre and radius equal to 7.4 cm, draw another arc such that it intersects the previous arc at C. With A as the centre and radius equal to 5.4 cm, draw an arc.

How do you find the diagonal if side is given?

The diagonal of a square formula, is d = a√2; where ‘d’ is the diagonal and ‘a’ is the side of the square. The formula for the diagonal of a square is derived using the Pythagoras theorem. A diagonal divides a square into two isosceles right-angled triangles.

How do you find the diagonal of a rhombus when given the side and altitude?

Area of Rhombus Using Diagonals: Method 1

1. Step 1: Find the length of diagonal 1, i.e. d1. It is the distance between A and C.
2. Step 2: Find the length of diagonal 2, i.e. d2 which is the distance between B and D.
3. Step 3: Multiply both the diagonals, d1, and d2.
4. Step 4: Divide the result by 2.

How do you construct a rhombus when only diagonals are given?

To draw a rhombus follow these steps:

1. Draw a line segment AC=5.2 cm.
2. Draw the perpendicular bisector to the line AC.
3. Label the intersecting point as O.
4. Taking O as centre, draw an arc of length with radius OB=OD= 3.2cm either side of the line AC since diagonals bisect each other in rhombus.
5. Join AB, BC,Cd and AD.

Are the diagonals of rhombus equal?

The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length. The figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa.

Is the diagonal of a rhombus equal to the sides?

Complete step-by-step answer: One of the diagonals of a rhombus is equal to one of its sides.

How do you draw a rhombus with diagonals?

Draw a rhombus and its diagonals. You’ll get 4 right triangles, with hypotenuse being one side of rhombus, and the legs being half of each diagonal: The sides of a rhombus are equal in length, opposite sides are parallel and opposite angles are equal. The diagonals are lines drawn between opposite corners.

What is the length of one side of a rhombus?

One side of a rhombus is 10 cm and one diagonal is 16 cm, what is the area of a rhombus? Length of side of rhombus s = 10 cm.

How do you find the angles of the rhombus?

To find the angles of the rhombus we’ll use sine and cosine. The side will be the hypotenuse and one half of the diagonal will be a leg. In this case leg/hypotenuse equals the sine of one half of one angle and the cosine of one half of the other. (remember that the diagonals bisect the angles of the rhombus)

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.