Math, asked by paraschauhan061, 9 months ago

The area of Rhombus is 240cm² and
one of the diagnols is 16 find
the other diagnol​

Answers

Answered by Anonymous
18

Given:

  • The area of Rhombus = 240 cm²

  • One of the diagonals (d1) = 16 cm

To find out:

Find the other diagonal (d2) .

Formula used:

 \boxed{ \blue{Area  \: of \: rhombus =  \frac{1}{2}  \times product \: of \: diagonals}}

Solution:

Let the length of required diagonal be d2 cm.

Then,

Area of Rhombus = ½ × d1 × d2

⇒ 240 = ½ × 16 × d2

⇒ 240 = 8 × d2

⇒ d2 = 240/8

⇒ d2 = 30 cm

Extra:

  • Rhombus: A Rhombus is a Parallelogram with all sides equal. Its diagonals bisect each other at right angles.

  • Square: A parallelogram in which all four sides are equal and all four angles are right angles is a square.

  • Parallelogram: A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Answered by RvChaudharY50
10

Solution :-

→ Area of Rhombus = 240cm².

→ one of the Diagonal = 16cm.

→ Other diagonal = ?

we know That :-

Area of Rhombus = (1/2) * (Diagonal one ) * (Diagonal Two)

Putting values we get :-

240 = (1/2) * 16 * (D2)

→ D2 = (240*2)/16

→ D2 = (480)/16

→ D2 = 30cm. (Ans).

Hence, Length of Other diagonal is 30cm.

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★★Extra Brainly Knowledge★★

✯✯ Some Properties of Rhombus ✯✯

→All sides of the rhombus are equal.

→The opposite sides of a rhombus are parallel.

→Opposite angles of a rhombus are equal.

→In a rhombus, diagonals bisecting each other at right angles.

→Diagonals bisect the angles of a rhombus.

→The sum of two adjacent angles is equal to 180 degrees.

→The two diagonals of a rhombus form four right-angled triangles which are congruent to each other

→You will get a rectangle when you join the midpoint of the sides.

→You will get another rhombus when you join the midpoints of half the diagonal.

→Around a rhombus, there can be no circumscribing circle.

→Within a rhombus, there can be no inscribing circle.

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