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In right angled triangle ABC,BD is perpendicular to AC.If AD=4 ,DC=9,then find BD |
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Answer» Answer: 6cm Step-by-step explanation: Given In right angled triangle triangle ABC, BD perpendicular AC if AD= 4, DC =9 then FIND BD In a right angled triangle ABC, A is common, ANGLE ABC = angle ADB BD is perpendicular to AC. ABC is similar to ADB AB / AD = AC / AB AB ^2 = AD x AC (because AC = AD + CD = 4 + 9 = 13 CM) AB^2 = 4 x 13 AB^2 = 52 AB = √52 AB = 2√13 cm AB^2 = AD^2 + BD^2 (2√13)^2 = 4^2 + BD^2 16 + BD^2 = 52 BD^2 = 52 - 16 BD^2 = 36 BD = 6 cm Read more on Brainly.in - brainly.in/question/8764932#readmore |
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