The area of Rhombus is 240cm² and
one of the diagnols is 16 find
the other diagnol
Answers
Given:
- The area of Rhombus = 240 cm²
- One of the diagonals (d1) = 16 cm
To find out:
Find the other diagonal (d2) .
Formula used:
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.
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.