In triangle ABC, AD is perpendicular to BC. Sin B = 0.8 , BD = 9 cm and tan C = 1. Find the length of AB , AD , AC and DC .

ICSE Class 9 Answered

In triangle ABC, AD is perpendicular to BC. Sin B = 0.8 , BD = 9 cm and tan C = 1. Find the length of AB , AD , AC and DC .

Asked by sactalkmail | 19 Feb, 2018, 06:45: PM

Expert Answer

begin mathsize 16px style sinB equals 0.8 rightwards double arrow cosB equals square root of 1 minus sin squared straight B end root equals 0.6 In space increment ABD comma cosB equals BD over AB 0.6 equals 9 over AB AB equals 15 space cm Similarly space find space sinB equals 12 space cm space and space AD equals CD equals 12 space cm Using space secC equals AC over CD space you space will space get space AC equals 12 square root of 2 space cm end style

Answered by Sneha shidid | 19 Feb, 2018, 06:58: PM

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