In ΔABC, D and E are the points on sides AC and AB, respectively, such that ∠ADE = ∠B. If AD = 7.6 cm, AE = 7.2 cm, BE = 4.2 cm and BC = 8.4 cm, then DE is equal to:
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 5.6 cm
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Understanding |
Application |
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Given that: ∠ADE = ∠B AD = 7.6 cm, AE = 7.2 cm, BE = 4.2 cm and BC = 8.4 cm |
In triangles AED and ACB: ∠ADE = ∠B (given) ∠A = ∠A Hence, ΔAED ~ ΔACB ∴ AD/AB = DE/BC ⇒ 7.6/11.4 = DE/8.4 ⇒ 2/3 = DE/8.4 ⇒ DE = 5.6 cm |