Question

3. Find the diagonal AC if the side of rhombus field 12m

and diagonal BD is 20m?​

Answer 1

Answer:

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Step-by-step explanation:

ind the diagonal AC if the side of rhombus field 12m

and diagonal BD is 20m?​

Answer 2

Given:

The length of the side of the rhombus = 12m

The length of diagonal BD = 20m

To find:

The length of diagonal AC

Solution:

It is given that we have a rhombus ABCD with a side length of 12m and a length of diagonal BD 20m.

Now from the properties of a rhombus, we know that the diagonals of a rhombus bisect each other at a right angle.

Let the point of intersection of the diagonals be O.

In the triangle, AOB angle O is a right angle while BO = 10m and AB = 12m, by using the Pythagoras theorem

(BO)² + (AO)² = (AB)²

10² + (AO)² = 12²

(AO)² = 144 - 100

AO = 6.63 m

Therefore length of diagonal AC = 2 x AO = 13.26 m

Therefore the length of the diagonal AC will be 13.26m