Question

Example 2: The area of a rhombus is 240 cm’and one of the diagonals is 16 cm. Find
the other diagonal
plz answer fast please ​

Answer 1

Answer:

30cm

Step-by-step explanation:

i hope it helps you okkk

Answer 2

Answer :-

The length of other diagonal of rhombus is :-

$\leadsto \: \underline{\boxed{\red{\sf{{d}_{1} = 30cm}}}}$

Step-by-step explanation:

To Find :

• The measure of other diagonal of rhombus.

Solution:

Given that,

• The area of rhombus = 240cm²
• The measure of one diagonal of rhombus = 16cm

Assumption: Let us assume the length of other rhombus as $\sf{{d}_{1} \: }$ and the length of given diagonal as $\sf{{d}_{2}.}$

Now,

As we know that,

$\bigstar \: \: \: \boxed{\sf{ \purple{Area \: of \: rhombus = \dfrac{1}{2} \times {d}_{1} \times {d}_{2}}}}$

Where,

$\bigstar \: \: \underline{\sf{ \bf{{d}_{1}} \: \sf{and \: \: \bf{{d}_{2}} \: \sf{are \: \: two \: \: diagonals \: \: of \: \: rhombus.}}}}$

According the question,

• The other diagonal of rhombus :-

$\sf{ \longmapsto \: \dfrac{1}{2} \times {d}_{1} \times {d}_{2} = area} \\ \\ \\ \\ \sf{ \longmapsto \: \dfrac{1}{2} \times {d}_{1} \times 16 = 240} \\ \\ \\ \\ \sf{ \longmapsto \: \dfrac{1}{ \cancel{2}} \times {d}_{1} \times \cancel{16} = 240} \\ \\ \\ \\ \sf{ \longmapsto \: 1 \times {d}_{1} \times 8 = 240} \\ \\ \\ \\ \sf{ \longmapsto \: {d}_{1} \times 8 = 240} \\ \\ \\ \\ \sf{ \longmapsto \: {d}_{1} = \dfrac{240}{8}} \\ \\ \\ \\ \sf{ \longmapsto \: {d}_{1} = \cancel{\dfrac{240}{8}}} \\ \\ \\ \\ \sf{ \longmapsto \: \underline{\boxed{\purple{\sf{{d}_{1} = 30}}}}}$

Hence, The other diagonal of rhombus is 30cm.