WebbProve that 9AD 2=7AB 2. Medium Solution Verified by Toppr ABC be an equilateral triangle and D be the point on BC such that BD= 31BC (Given) Draw AE⊥BC, Join AD. BE=EC (Altitude drawn from any vertex of an equilateral triangle bisects the opposite side) So, BE=EC= 2BC In ΔABC AB 2=AE 2+EB 2....(i) AD 2=AE 2+ED 2....(ii) From (i) and (ii) WebbProve that 9AD2 = 7AB2. [Marks:3] 22] Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current. OR ... 9AB2 - 2AB2 = 9AD2 AB = BC Or 9AD2 = 7AB2 22] Let the speed of Ritu in still water and the speed of stream be x km/h and y km/h respectively.
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Webb2 juni 2012 · 16. In an equilateral Δ ABC, the side BC is trisected at D. Prove that 9AD2 = 7AB2. 17. Prove that three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians ofthe triangle. 18. If ABC is an obtuse angled triangle, obtuse angled at B and if AD ^ CB Prove that. 1. AC 2 =AB 2 + BC 2 ... WebbProve that 9AD2 = 7AB2. Given : An equilateral triangle ABC such that To Prove : 9AD2 = 7AB Given : An equilateral triangle ABC such that BD equals 1 third BC.To Prove : 9AD2 = 7AB2 Const: Draw AE ⊥ BC. Proof: In right triangles ABE and ACE, we have AE = AE [common] ∠AEB = ∠AEC [90°] and AB = AC [∆ABC is an equilateral] Therefore, by ... fingernail trauma
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Webb8 maj 2014 · Prove that 9AD2 = 7AB2 15. Find the area of triangle formed by the vertices A (2,3) ,B (-2,0) and C (4,1) 16. Finds the relation between x and y if ... In the figure DE is parallel to OQ and DF is parallel to OR show that EF is parallel to QR. 3. w w w .edurite.com 34. Find the area of triangle formed by joining the mid points ... Webb30 apr. 2024 · To prove: 9AD 2 = 7AB 2 Construction: Draw AE ⊥ BC. Proof : In a ΔABC and ΔACE AB = AC ( Given) AE = AE ( common) ∠AEB = ∠AEC = 90° ∴ ΔABC ≅ ΔACE ( For … fingernail toenail clipper