In a rhombus abcd angle a 60
WebOct 17, 2024 · Let $ABCD$ be a rhombus with $\\angle ADC=60^\\circ$ (picture in attach file). The points $E$, $F$, $G$, and $H$ are midpoints on sides $AB$, $DA$, $CD$, and $BC ... WebAug 29, 2024 · Since the rhombus has angles that measure 120 and 60 degrees, we see that when they are bisected, they become 60 and 30 degrees, respectively. Therefore, each of …
In a rhombus abcd angle a 60
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WebApr 7, 2024 · A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and … WebApr 15, 2024 · See below. angleC=31 opposite angles of a rhombus are equal So, angleBCO=15.5 diagonals bisect vertices angleBOC=90 diagonals bisect each other at right-angles angleOBC=74.5 angle sum of triangle
WebABCD is a rhombus. So all of its sides are equal. Now, BC = DC ⇒ ∠BDC = ∠DBC = x (Angles opposite to equal sides are equal) Also, ∠BCD = 60° ∴ x + x + 60° = 180° ⇒ 2x = 120° ⇒ x = 60° i.e., ∠BCD = ∠BDC = ∠DBC = 60° So, ∆BCD is an equilateral triangle. ∴ BD = BC = a Also, OB = a /2 Now, in ∆OAB, we have: AB^2= OA^2 + OB^2 WebApr 15, 2024 · Explanation: ∠C = 31 opposite angles of a rhombus are equal. So, ∠BCO = 15.5 diagonals bisect vertices. ∠BOC = 90 diagonals bisect each other at right-angles. …
WebJan 10, 2024 · There are three useful formulas for the calculation of the area of the rhombus: Knowing base and height: area = base × height Knowing the diagonals of a rhombus: area = (e × f)/2 Knowing the side s and any (!) angle: area = s² × sin (angle) Why can we use any angle in the last rhombus area formula? WebConstruct a rhombus whose one side is 5 cm and one angle is 45 o. Easy. View solution.
Web∠ A E D = ∠ B E D ( right angle) A E = E B ( DE bisects AB) ∴ A E D ≅ B E D ( by SAS property) ∴ A D = B D ( by C.P.C.T) But A D = A B ( sides of rhombus are equal) ⇒ A D = A B = B D. ∴ ABD is an equilateral triangle. ∴ ∠ A = 60 ∘. ⇒ ∠ A = ∠ C = 60 ∘ (opposite angles of rhombus are equal) But Sum of adjacent angles ...
WebA circle is inscribed into a rhombus ABCDwith one angle 60o. The distance from the centre of the circle to the nearest vertex is equal to1. If Pis any point of the circle, then … dance classes for toddlers portland oregonWebSolution Verified by Toppr Let each side of the rhombus ABCD be a ∠A=60 o So, ABD is an equilateral triangle ⇒AD=AB=a We know that, the diagonals of a rhombus bisect each … dance classes for three year oldsWebSep 14, 2014 · The fours sides of a rhombus are of equal length. This also means that opposite angles of a rhombus have equal measure. The interior angles add up to 360 … birdstones of the north american indian bookWebA rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent. There are several formulas for the rhombus that have to do with its: Sides (click for more detail) All 4 sides are congruent. Angles. Diagonals bisect vertex angles. Diagonals. Diagonals are perpendicular. Area birdstone winery emailWeb1 Answer Sorted by: 2 Hint: If ∠ D A B = ∠ D C B = 60 ° than The triangles D A B and D C B are equilateral, so ∠ A D B = 60 °. Let O the center of the circle, than the radius of the circle is r = A O sin 60 ° = 3 2 and the distance A O = 3. dance classes hervey bayWeb1. Quadrilateral ABDE is a rhombus. The measure of angle ABF is 23˚. What is the measure of angle BDE? F E A D B a. 134˚ b. 164˚ c. 67˚ d. 46˚ e. There is not enough information … dance classes howard countyWebNov 23, 2024 · In rhombus sum of the angle is 360°. ABCD is a rhombus, angle is equal to 60°. ∠A = 60° In, rhombus the adjacent side is 180°. ∠A + ∠B = 180° 60° + ∠B = 180° ∠B = 180° - 60° ∠B = 120° Where, ∠A = ∠D ( Opposite angles of rhombus are equal ) ∠A = 60° ∠B = 120° ∠D = 60° ∠C = ∠C + ∠D = 180° ∠C + 60° = 180° ∠C = 180° - 60° ∠C = 120° dance classes for adults in memphis tn