Question

find the area of a rombus one side measures 20cm and one of whose diagonal is 24cm

Answer 1

Answer:

The area of the rhombus is 384cm²

Given:

One side of a rhombus = 20cm and one diagonal = 24 cm

To Find:

The area of a rhombus

Solution:

In the rhombus ABCD,

Let, AB = 20 cm

And AC = 24 cm

From the diagram,

AO + CO = 24 cm

AO = 12 cm [∵ AO = CO]

In triangle AOB

AB = 20 cm and AO= 12 cm

Using Pythagoras Theorem,

we know that:-

Pythagorean Theorem!

H² = B² + P²

(AB)² = (OA)² + (OB)²

(20)² = (OA)² + (12)²

400 = (OA)² + 144

400 - 144 = (OA)²

256 = (OA)²

16 cm = OA

Then,

AC = 2 x 16 

      = 32cm

Now, Area = 1/2× product of its diagonals

=1/2×24×32

=384cm^2

mark me as brainlist..