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Prove that: (i) ∆ PAC ~ ∆ PDB (ii) PA.PB = PC.PD. 4 years ago Priya123 class 10 cbse ncert triangles In Figure, two chords AB and CD intersect each other at the point P. Prove that : (i) ∆APC ~ ∆ DPB (ii) AP.PB = CP.DP 4 years ago Priya123 class 10 cbse ncert triangles Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides. 4 years ago Priya123 class 10 cbse ncert triangles In Figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that : (i) AC^2 = AD^2 + BC.DM + 2 (BC/2)^2 4 years ago Priya123 class 10 cbse ncert triangles In Figure, ABC is a triangle in which ∠ABC < 90° and AD ⊥ BC. Prove that AC^2= AB^2+ BC^2 – 2 BC.BD. 4 years ago Priya123 class 10 cbse ncert triangles In Figure, ABC is a triangle in which ∠ABC > 90° and AD ⊥ CB produced. Prove that AC^2= AB^2+ BC^2+ 2BC.BD. 4 years ago Priya123 class 10 cbse ncert triangles In Figure, D is a point on hypotenuse AC of ∆ABC, such that BD ⊥AC, DM ⊥ BC and DN ⊥ AB. Prove that: (i) DM2 = DN . MC 4 years ago Priya123 class 10 cbse ncert triangles In Figure, PS is the bisector of ∠ QPR of ∆ PQR. Prove that QS/PQ = SR/PR 4 years ago Priya123 class 10 cbse ncert triangles Tick the correct answer and justify: In ΔABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm. The angle B is: 4 years ago Priya123 class 10 cbse ncert triangles In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes. 4 years ago Priya123 class 10 cbse ncert triangles In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3BC. Prove that 9AD^2 = 7AB^2. 4 years ago Priya123 class 10 cbse ncert triangles The perpendicular from A on side BC of a Δ ABC intersects BC at D such that DB = 3CD 4 years ago Priya123 class 10 cbse ncert triangles D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE^2 + BD^2 = AB^2 + DE^2. 4 years ago Priya123 class 10 cbse ncert triangles Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops. 4 years ago Priya123 class 10 cbse ncert triangles An aeroplane leaves an airport and flies due north at a speed of 1,000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1,200 km per hour. 4 years ago Priya123 class 10 cbse ncert triangles A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut? 4 years ago Priya123 class 10 cbse ncert triangles A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall. 4 years ago Priya123 class 10 cbse ncert triangles In Figure, O is a point in the interior of a triangle. ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. 4 years ago Priya123 class 10 cbse ncert triangles Prove that the sum of the squares of the sides of rhombus is equal to the sum of the squares of its diagonals. 4 years ago Priya123 class 10 cbse ncert triangles ABC is an equilateral triangle of side 2a. Find each of its altitudes. 4 years ago Priya123 class 10 cbse ncert triangles Page 4 / 5 Prev 1 2 3 4 5 Next Share: Super Globals Requests: Server: Options and Features route: community use_home_url: url: https://eanshub.com/community/ pageid:187 default_groupid: 3 2022 How Can We Help? Δ Home About Us Contact Us Privacy Policy Term of Use Copyright © 2020 Eanshub All Rights Reserved