In a rhombus abcd angle a 60
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 … Web1. 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 …
In a rhombus abcd angle a 60
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WebConstruct a rhombus whose one side is 5 cm and one angle is 45 o. Easy. View solution. WebSep 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 …
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 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 ...
Web1 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. 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.
WebSteps for construction : Step 1. Draw AB=5cm. Step 2. Draw ray AY such that ∠BAY=120 ∘. Step 3. Mark a point D such that AD=5cm . Step 4. Draw a ray BX such that ∠ABX=60 ∘.
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 … port of bellingham job openingsWebJan 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? port of bellingham fish marketWeb28. Triangle ABC is an isosceles triangle. The measure of angle A is 15˚. Which statement CANNOT be true about the triangle? a. It is an acute triangle. b. It is an obtuse triangle. c. The measure of angle B is 150˚. d. The measure of angle B is 82.5˚. e. The side opposite the 15˚ angle is the longest side. 29. Rectangles are made of small ... port of bellingham marine parkWebFeb 5, 2024 · In a rhombus ABCD, length of each side is 10 cm and angle A = 60^(@). Find the lengths of its diagonals AC and BD. Class:9Subject: MATHSChapter: SOLUTION OF ... port of bellingham rfpWebAll 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. iron cross 1800sWebA 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 … iron crook slaveryWebMar 11, 2024 · In a rhombus ABCD, m∠A = 31°. Point O is a point of intersection of diagonals. Find the measures of the - Brainly.com. 03/11/2024. Mathematics. High … iron cross 1939 for sale