rhombus


A rhombus is a quadrilateral with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. The opposite interior angles of rhombuses are congruent and the diagonals of a rhombus always bisect each other at right angles.



ABCD is a rhombus in which the altitude from D to side AB bisects AB. Then ∠ A and ∠ B respectively, are __________. A 60 o,120 o B 120 o,60 o C 80 o,100 o D 100 o,80 o Medium Solution Verified by Toppr Correct option is A) ∠ADE=∠EDB=α(say) ∠ADB=∠ABD=2α from triangle EDB α+2α+90 ∘=180 ∘ α=30 ∘ ∠B=∠ABD+∠DBC=2∠ABD since ∠ABD=∠DBC ∠B=4α=120 ∘



In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.



0:00 / 12:46 Rhombus Area and Properties (in Hindi) Abhijit Phadke -Hindi 11.9K subscribers Subscribe 5K views 4 years ago The geometric shape of rhombus is explained in this video made in.



1 Answer 0 votes answered Dec 23, 2019 by Eshaan01 (71.4k points) selected Dec 23, 2019 by Bhairav Best answer Please refer to video for the figure. For parallelogram ABC D A B C D AB = C D and AD = BC A B = C D and A D = B C We know, tangents drawn from a point to a circle are always equal.So,



First Method Let PQRS be a rhombus and its two diagonals are PR and QS. Suppose, PR = d 1 and QS = d 2 where d 1 = 7.5 cm and d 2 = 12 cm. The area of a rhombus is half the product of the diagonals. ∴ Area of PQRS = 1 2 × d 1 × d 2 or, Area of PQRS = 1 2 × 7.5 cm × 12 cm or, Area of PQRS = ( 1 2 × 7.5 × 12) cm 2



Property 2. The diagonals of a rhombus are perpendicular. Remember, if a quadrilateral is both a rectangle and a rhombus, then it is a square. Since all rhombuses are parallelograms, but not all parallelograms are rhombuses, a rhombus follows some of the rules that a parallelogram does. The following properties apply to parallelograms and.



Definition: A quadrilateral with all four sides equal in length. Try this Drag the orange dots on each vertex to reshape the rhombus. Notice how the four sides remain the same length and the opposite sides remain parallel. Hide |< >| RESET A rhombus is actually just a special type of parallelogram.