WebOct 19, 2024 · In ∠BAC = 90° and AD ⊥ BC. A Then (а) BD.CD = BC² (б) AB.AC = BC² (c) BD.CD = AD² (d) AB.AC = AD² Answer 11. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE BC. Then, length of DE (in cm) is (a) 2.5 (b) 3 (c) 5 (d) 6 Answer 12. WebMar 29, 2024 · Example 10 In figure, ∠ ACB = 90° and CD ⊥ AB. Prove that BC2/AC2=BD/AD Given:- ΔCAB, ∠ ACB = 90° And CD ⊥ AB To Prove :- BC2/AC2=BD/AD Proof : From theorem 6.7, If a perpendicular is drawn from the vertex of the right angle to the hypotenuse then triangles on both sides of the Perpendicular are similar to the whole triangle and to ...
In Fig., ∠BAC = 90° and AD ⊥ BC. The number of right triangles in …
WebAug 5, 2024 · In the given figure, ∠A = 90°, AD ⊥ BC. If BD = 2 cm and CD = 8 cm, find AD. (2012; 2024D) Solution: ∆ADB ~ ∆CDA … [If a perpendicular is drawn from the vertex of the right angle of a rt. ∆ to the hypotenuse then As on both sides of the ⊥ are similar to the whole D and to each other ∴ … [∵ Sides are proportional AD 2 = BD , DC WebIn Fig. 6.2, ∠BAC = 90° and AD BC. Then, a. BD . CD = BC 2 b. AB . AC = BC 2 c. BD . CD = AD 2 d. AB . AC = AD 2. Solution: Given, ∠BAC = 90° Also, AD BC. We know that a … north carolina boat shows
In fig 6.2 angle BAC =90° and AD perpendicular to BC - Brainly
WebApr 11, 2024 · In the given figure, if ∠BAC = 90° and AD⏊BC. Then, (A) BD.CD = AD2 (B) AB.AC = AD2 (C) BD.CD = AD2 (D) AB.AC = AD2 Ans: The correct option is (C): BD·CD = AD2 In ΔADB and ΔADC, It is given that ∠BDA = ∠ADC = 90° ∠B = ∠DAC = (90°- C) Now, by AA similarity criterion $\triangle \mathrm {ADB} \sim \triangle \mathrm {CDA}$ WebMar 16, 2024 · Given: ABC is a triangle where ABC < 90 and AD BC To Prove: AC2 = AB2 + BC2 2BC.BD Proof: In right APB By Pythagoras Theorem, AB2 = AD2 + BD2 In right ADC By Pythagoras Theorem, AC2 = AD2 + CD2 From (2) AC2 = AD2 + CD2 AC2 = AD2 + (BC BD)2 AC2 = AD2 + BD2 + BC2 2BC.BD Putting AD2 + BD2 = AB2 from equation (1) AC2 = AB2 + … WebMar 22, 2024 · Transcript. Show More north carolina boat insurance