In figure , if DE//BC then x equals to: 1)6cm,2)7cm,3)3cm,4)4cm.
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Answer:
(1) 6 cm
Step-by-step explanation:
By Basic proportionality theorem
AD / BD = AE / EC
AE / EC = 3/4
In triangle ADE AND ABC
∠A = ∠A (COMMON)
∠ADE = ∠ABC(CORRESPONDING ANGLES)
ADE ∼ ABC
AD / AB = DE / BC = AE / AC( CORRESPONDING PARTS OF SIMILAR TRIANGLES)
3/ 7 = DE / BC
3/7 = X /14
X = 3 *2 = 6cm
X = 6cm
(1) is the correct answer
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