Question

4. *
1 point
If AABC~ADFE, ZA=300, ZA=500, AB=5cm, AC=8cm and DF=7.5cm which of the
following is true​

Answer 1

Answer:

Given: ∆ABC ∼ ∆DFE, As ∆ABC ∼ ∆DFE so, by the property of Corresponding angles of similar triangles, We have, ∠A = ∠D = 30° (Corresponding angles) ∠C = ∠E = 50° (Corresponding angles) We know that sum of angles of a triangle = 180° So, ∴ ∠B = ∠F = 180°- (30° + 50°) = 100° Also Given, AB = 5 cm, AC = 8 cm and DF = 7.5 cm Hence, DE = 12 cm, and ∠F = 100°Read more on Sarthaks.com - https://www.sarthaks.com/881468/if-abc-dfe-a-30-c-50-ab-5-cm-ac-8-cm-and-df-7-5-cm-then-which-of-the-following-is-true