Question

the area of rhombus is 138cm. if one of the diagonals is 11.5cm long ,find the length of the other diagonals
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Answer 1

Answer:

24

Step-by-step explanation:

area of rhombus = 1/2 ( product of diagonals)

135 = 1/2 (11.5 * x)

x = (135 * 2)/1/2

x = 24

Answer 2

SOLUTION:-

Given:

The area of rhombus is 138cm².

One diagonal is 11.5cm

To find:

Other diagonal.

Therefore,

We know that, area of rhombus;

=) 1/2 × d1 × d2.

Let the other diagonal be x.

Now,

$= > \frac{1}{2} \times d1 \times d2 \\ \\ = > \frac{1}{2} \times 11.5 \times d2 = 138 \\ \\ = > \frac{11.5}{2} \times d2 = 138 \\ \\ = > d2 = \frac{138 \times 2 \times 10}{11.5 \times 10} \\ \\ = > d2 = \frac{138 \times 20}{115} \\ \\ = > d2 = 1.2 \times 20 \\ \\ = > d2 = 24cm$

Thus,

The length of the other diagonal is 24cm.

Hope it helps ☺️