What is the length of a rhombus whose diagonals are 10 and 24?

What is the length of a rhombus whose diagonals are 10 and 24?

If Diagonals of a rhombus is 10cm and 24 cm find its perimeter. Diagonals meet at the centre and forms right-angled triangles. Hence the side of the rhombus is 13cm. = 52cm.

How long is each side of a rhombus having diagonals 10 and 24 cm respectively?

Therefore all the sides of the rhombus are equal. Now it is given that AC = 24 cm and BD = 10 cm. Therefore the length of each side of the Rhombus is 13 cm.

How do you find the length of a side of a rhombus with diagonals?

Recall that in a rhombus, the diagonals are not only perpendicular to each other, but also bisect one another. Thus, we can find the lengths of half of each diagonal and use that in the Pythagorean Theorem to find the length of the side of the rhombus.

How do you find the length of the altitude of rhombus if diagonals are given?

To find the height of a rhombus, use the formula height = area ÷ base. If you know the diagonals of a rhombus but not its area, use the formula area = (d1 x d2) ÷ 2, then apply the area to the first formula.

What is the length of the diagonal 24 cm 10 cm?

• Therefore, the length of the Diagonal is 26 cm.

What will be the area of rhombus whose diagonals are 10cm & 12cm?

Area of rhombus = 60cm²

How do you find the length of a side of a rhombus?

If a rhombus has a base that is times greater than the height and the height of the rhombus is equal to , find the length of one side of the rhombus. Explanation: To find the length of a side of the rhombus, multiply times .

What is the formula for finding the length of a rhombus?

Let ABCD be the rhombus where AC = 10 cm and BD = 24 cm.

1. Let AC and BD intersect each other at O. Now, diagonals of rhombus bisect each other at right angles. Thus, we have.
2. Since AOB is a right angled triangle, by pythagoras theorem, we have.
3. Hence, AB = 13. Thus, length of each side of rhombus is 13 cm.

How do you find the diagonal of a rhombus if one diagonal is given?

The formula for the diagonal of a rhombus is derived using the area of the rhombus. In other words, if the area and one of the diagonals is given, 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.

How to find the length of the diagonal of a rhombus?

The length of the diagonals of a rhombus are 24 cm and 18 cm . Find the length of each side of the rhombus AC = 24cm and BD = 18cm. Let the Diagonal of Rhombus bisect each other at right angles. Hence the each side of the rhombus is 15cm.

Which is the correct side of a rhombus?

If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to Let ABCD be rhombus with diagonals AC and BD 18cm and 24cm respectively. We know that diagonals of the rhombus bisect each other at right angles. Also, ΔAOB is a right angled triangle. Hence the correct choice is (b).

How big is the perimeter of a rhombus?

Diagonals meet at the centre and forms right-angled triangles. Hence the side of the rhombus is 13cm. = 52cm. Therefore, the perimeter of the rhombus is 52cm. Was this answer helpful? Thank you. Your Feedback will Help us Serve you better.