In a rhombus abcd angle a 60
WebFor parallelogram ABCD, find m angle l. Given that m angle A = 2x + 3 and m angle C = 3x - 27, find the measure of each angle of parallelogram ABCD. 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 ...
In a rhombus abcd angle a 60
Did you know?
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 … WebR S Aggarwal and V Aggarwal Solutions for Class Maths GUJARAT Chapter 10: Get free access to Quadrilaterals Class Solutions which includes all the exercises with solved solutions. Visit TopperLearning now!
WebNov 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° 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
WebMay 9, 2024 · First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is … 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 …
WebNov 1, 2024 · In a rhombus ABCD, the diagonal intersect each other at O. If /_ A =60^(@) and OA=2 cm, then the side of the rhombus is _______________Class:8Subject: MATHSC... in app purchase classes for iosWeb1 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. in app protectionWebOct 17, 2024 · Given : ABCD is a rhombus with ∠A = 60°, AB = 10 cm. To Find: We have to find the length of the diagonals, AC and BD. Solution : The important properties of the diagonals of a rhombus are: the diagonals of … in app purchase freeWebSolution 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 … in app purchase are not allowedWebApr 7, 2024 · A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and … in app purchase digital goodsWebMar 11, 2024 · In a rhombus ABCD, m∠A = 31°. Point O is a point of intersection of diagonals. Find the measures of the angles of triangle ΔBOC. See answers Advertisement SansCube4Life Answer: ∠BOC = 90 degrees, ∠OCB = 15.5 degrees, ∠OBC = 74.5 degrees You're Welcome Advertisement IThinkIKnowTheAnswer Answer: m∠ COB= 90 degrees … dvd a free soulWebAll of the interior angles of the rhombus are degrees. Correct answer: Both of the remaining angles are degrees. Explanation: The four interior angles in any rhombus must have a sum of degrees. The opposite interior angles must be equivalent, and the adjacent angles have a sum of degrees. in app purchase liability