Example 5 - Observe figure and then find angle P. - SSS Similarity

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Example 5 Observe figure and then find P. Given: AB = 3.8 , PQ = 6 3 , BC = 6 , QR = 12 , AC = 3 3 , PR = 7.6 To find:- angle P i.e. P Solution:- in Let us find the ratio of sides / =3.8/7.6 = 38/76 = 1/2 / =(3 3)/(6 3)=1/2 / =6/12= 1/2 Thus, / = / = / (Using SSS similarity criterion) So , ~ Now we need to find P We know that corresponding angles of similar triangle are equal . Therefore, C = P In A + B + C = 180 80 +60 + C = 180 140 + C = 180 C = 180 140 C = 40 Thus, C = 40 Hence , P = C = 40

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.