Question

The side of a rhombus is 13 cm and the
length of one of its diagonals is 24 cm.
Find the length of the other diagonal and
area of the rhombus.

please answer with solution.
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Answer 1

Answer:

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Answer 2

Here, as per the provided question. We are asked to find the length of other diagonal and the area of the rhombus when the basical information are given here –

GIVEN :

• The side of a rhombus = 13cm
• Length of one of its diagonal = 24cm

TO FIND :

• The length of other diagonal = ?
• Area of the rhombus = ?

STEP-BY-STEP EXPLANATION :

Now, here we are asked to find the length of other diagonal and area of the rhombus –

→ Side of the rhombus = 13cm

→ length of one of its diagonal = 24cm

So, now let us find the length of other diagonal –

→ Side of 1st rhombus (d1) = 13cm

→ Side of 2nd rhombus (d2) = ?

→ d2 = 2√13² - 12²

→ d2 = 2√169-144

→ d2 = 2√25

→ d2 = 2 × 5 = 10 cm

Therefore, length of other diagonal = 10cm .

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Now, we will find area of the rhombus = ?

Formula used :

• ½ × d1 × d2

→ ½ × d1 × d2

[ substituting the values as per the formula ] :

→ ½ × 24 × 10

→ 12 × 10 = 120

→ 120cm²

Hence, area of the rhombus = 120cm² .

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