In ΔABC, E and D are points on sides AB and AC, respectively, such that ∠ADE. If AE = 6 cm, AD = 4 cm and EB = 4 cm, then the length of DC is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 11 cm.
| Understanding/Application |
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In triangle ABC and ADE ∠ABC = ∠ADE ∠BAC = ∠DAE |
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Triangle ABC and ADE are similar. AB/AC = AD/AE (AE + EB)/(AD + DC) = AD/AE (6 +4)/(4 + DC) = 4/6 10/(4 + DC) = 2/3 4 + DC = 15 DC = 11 cm |