In Fig. 4.141,DE||BC such that AE = (1/4) AC. If AB = 6 cm, find AD.
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Answer:
1.5 cm
Step-by-step explanation:
solution is in the attachment
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AD = 1.5 cm
Step-by-step explanation:
Given: DE||BC
AE/AC = 1/4
AB = 6cm
To find: AD.
Let's compare ΔABC and ΔADE,
∠A is common
Also, ∠D = ∠B (corresponding angles)
Thus, ΔABC ~ ΔADE (AA similarity).
Two similar triangles have corresponding sides in same ratios.
So AD/AB = AE/AC = 1/4
AD/AB = 1/4
AD / 6 = 1/4
AD = 6/4 = 1.5 cm
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