Question

A side of rhombus PQRS measures 8.5 units. If the length of the diagonal OS is 8 units, find the area of a rhombus.
​

Answer 1

Answer:

60 sq• unit

Step-by-step explanation:

Given:-

A side of Rhombus PQRS measures 8.5 units

The length of diagonal QS is 8 units

To Find :-

The area of rhombus

Diagram:-

Refer to the attachment

Step-by-step explanation:

We know, the formula of area of rhombus is,

where,

p and q are two diagonal of rhombus.

So, to find the area, first we need to find two diagonals.

Now, we know the two diagonals of a rhombus bisects each other with the angle of 90°

And let the intersection point be O

Therefore, POQ is a right angle triangle

PQ = 8.5 unit (Side of a rhombus)

OQ = 8 ÷ 2 = 4 unit

Now, Hypotenuse PO would be,

Now, the length of diagonal is,

Now, the area of rhombus is,

Plz mark me as brainliest..