Education_Nomad

Triangles:- PYQ :- Level 2 Question 1. If ∆ABC ~ ∆PQR, perimeter of ∆ABC = 32 cm, perimeter of ∆PQR = 48 cm and PR = 6 cm, then find the length of AC. (2012) Solution: ∆ABC ~ ∆PQR …[Given Question 2. ∆ABC ~ ∆DEF. If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, find the perimeter of ∆DEF. (2012, 2017D) Solution: ∆ABC – ∆DEF …[Given Question 3. If ∆ABC ~ ∆RPQ, AB = 3 cm, BC = 5 cm, AC = 6 cm, RP = 6 cm and PQ = 10, then find QR. (2014) Solution: ∆ABC ~ ∆RPQ …[Given ∴ QR = 12 cm Question 4. In ∆DEW, AB || EW. If AD = 4 cm, DE = 12 cm and DW = 24 cm, then find the value of DB. (2015) Solution: Let BD = x cm then BW = (24 – x) cm, AE = 12 – 4 = 8 cm In ∆DEW, AB || EW Question 5. In ∆ABC, DE || BC, find the value of x. (2015) Solution: In ∆ABC, DE || BC …[Given x(x + 5) = (x + 3)(x + 1) x 2  + 5x = x 2  + 3x + x + 3 x 2  + 5x – x 2  – 3x – x = 3 ∴ x = 3 cm Question 6. In the given figure, if DE || BC, AE = 8 cm, EC = 2 cm and BC = 6 cm, then find DE. (2014) Solution: In ∆ADE and ∆ABC