find the following figure A = 2cm B= 5cm C= 4cm if ∆ABC ~ ∆ ADE then find the value of x
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Correct Question :- AD = 2cm , DB = 5cm , AE = 4cm . if ∆ABC ~ ∆ ADE then find the value of x (ED) ?
Solution :-
since we have, given that, ∆ADE ~ ∆ ABC .
so,
→ ∠ADE = ∠ABC
→ ∠AED = ∠ACB .
as we can see that, pair of corresponding angles are equal .
therefore, we can conclude that, DE || BC.
then,
→ AD / DB = AE / EC (BPT)
→ 2/5 = 4/x
→ 2x = 20
→ x = 10 cm . (Ans.)
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