In a trapezium abcd if ab cd then ac2 + bd2
WebABCD is a trapezium in which AB is parallel to CD. If ∠A=36 ∘ and ∠B=81 ∘, then find ∠C and ∠D. Medium View solution > Suppose ABCD is a trapezium in which AB∥CD and AD=BC. Prove that ∠A=∠B and ∠C=∠D. Medium View solution > View more More From Chapter Understanding Quadrilaterals View chapter > Revise with Concepts WebDec 13, 2024 · Answer 1 person found it helpful deepali019930 ABCD is a trapezium such that AB and CD are parallel and BC⊥CD. If ∠ADB=θ, BC=p and CD=q, then AB is equal to cosα= p 2 +q 2 q and sinα= p 2 +q 2 p Using sine rule in triangle ABD sinθ AB = sin (θ+α) BD ⇒AB= sinθcosα+cosθsinα p 2 +q 2 sinθ = p 2 +q 2 sinθ⋅q + p 2 +q 2 cosθ⋅p p 2 +q 2 sinθ …
In a trapezium abcd if ab cd then ac2 + bd2
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WebJul 4, 2024 · In a rectangle ABCD, prove that: AC2+BD2 =AB2+BC2+CD2+DA2. Q. If ABCD is a rhombus then prove that AB2+BC2+CD2+DA2 =AC2+BD2. Q. In a quadrilateral ABCD, ∠B = 90°. If AD 2 = AB 2 + BC 2 + CD 2 then prove that ∠ACD = 90°. Q. WebDec 4, 2024 · In a trapezium ABCD, AB DC and DC = 2AB. EF A B,where E and F lie on BC and AD respectively BE/EC = 4/3. Diagonal DB intersects EF at G. Prove that, 7EF = 11AB cbse class-10 1 Answer +1 vote answered Dec 4, 2024 by Maryam (79.7k points) selected Dec 19, 2024 by Vikash Kumar Best answer Adding eqns. (ii) and (iii),
WebFeb 19, 2012 · In a trapezium ABCD , if AB ll CD , then (AC2 - BD2 )= (i) BC2 + AD2 + 2BC x AD (ii) AB2 + CD2 + 2AB x BC (iii) AB2 + CD2 + 2AD x BC (iv) BC2 + AD2 + 2AB x CD - … WebIn a right triangle PQR, if PR 2+PQ 2=QR 2 , then the angle equal to 90 o. ABCD is rhombus. Prove that AC 2+BD 2=4AB 2.
WebMar 11, 2016 · Given : ABCD is a trapezium with AB CD Construction : Draw DE and CF ⊥ to AB Then in Δ ABC ∠BAC is acute ∴ BC2 = AC2 + AB2 – 2 AF : AB ..... (1) and In Δ BDA ∠DBA is acute ∴ AD2 = BD2 + AB2 – 2 BE : AB ..... (2) Adding (1) and (2) we get BC2 + AD2 = AC2 + BD2 +2AB2 – 2AF ·AB – 2BE·AB ⇒AC2 +BD2 = BC2 + AD2 – 2 AB [AB – AF – BE] WebTo prove : AC2+BD2 = AD2+BC2. Construction : Produce AB and CD to meet at E. Also, join AC and BD. Proof : In ΔAED, ∠A+∠D= 90∘ [given] ∴ ∠E= 180∘−(∠A+∠D) = 90∘ [because sum of all angles in a triangle= 180∘] Then, by using Pythagoras theorem,
WebSolution Verified by Toppr Correct option is D) In the triangle BCD cosα= p 2+q 2q and sinα= p 2+q 2p Using sine rule in triangle ABD sinθAB= sin(θ+α)BD ⇒AB= sinθcosα+cosθsinα p 2+q 2sinθ = p 2+q 2sinθ⋅q+ p 2+q 2cosθ⋅pp 2+q 2sinθ ⇒AB= (pcosθ+qsinθ)(p 2+q 2)sinθ Video Explanation Was this answer helpful? 0 0 great clips vero beach flWebABCD is a trapezium in which AB Il DC and AB = 8 cm, BC = 10 cm, CD = 12 cm, AD = 16 cm, then AC2 + BD2 is equal to ? AB Il DC AB = 8 àžr, BC = 10 àÊr, CD - 12 = 16 ffi, AC2 + BD2 … great clips vestavia hillsWebMar 29, 2024 · Given: where AD BC To Prove:- AB2 + CD2 = BD2 + AC2 Proof: Since AC BD ADC = ADB = 90 Doing (1) (2) AB2 AC2 = (AD2 + BD2) (AD2 + CD2) AB2 AC2 = AD2 + BD2 AD2 CD2 AB2 AC2 = BD2 CD2 AB2 + CD2 = BD2 + AC2 Hence proved Next: Example 13 Important → Ask a doubt Chapter 6 Class 10 Triangles Serial order wise Examples great clips veteran discountWebDec 13, 2011 · Given : ABCD is a trapezium with AB CD Construction : Draw DE and CF ⊥ to AB Then in Δ ABC ∠BAC is acute ∴ BC 2 = AC 2 + AB 2 – 2 AF : AB ..... (1) and In Δ BDA ∠DBA is acute ∴ AD 2 = BD 2 + AB 2 – 2 BE : AB ..... (2) Adding (1) and (2) we get BC 2 + AD 2 = AC 2 + BD 2 +2AB 2 – 2AF ·AB – 2BE·AB ⇒AC 2 +BD 2 = BC 2 + AD 2 – 2 AB [AB – AF – … great clips verona wi hoursWeb1 In ABC and DEF ∠B = ∠E, ∠F = ∠C and AB = 3DE then which of the statements regarding the two triangles is true? a. The triangles are not congruent and not similar great clips verona wi check inWebThe trapezium is a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called bases and the non-parallel sides of a trapezium are called legs. It is also called a trapezoid. Sometimes the parallelogram is also called a trapezoid with two parallel sides. From the above figure, we can see, sides AB and CD ... great clips verona wisconsinWebDec 6, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site great clips verona check in