DE is parallel to BC if AD=DB=2 AND AC =3,6 cm find AE.
Answers
The length of AE is 1.8 cm.
Step-by-step explanation:
It is given that,
In ∆ABC, DE // BC
AD = DB = 2 cm
AC = 3.6 cm
Considering ∆ADE and ∆ABC, we have
∠A = ∠A ….. [common angle]
∠ADE = ∠ABC ……. [corresponding angles]
∴ By AA similarity, ∆ADE ~ ∆ABC
Since the corresponding sides of similar triangles are proportional to each other.
∴ AD/AB = AE/AC
⇒ 2/(2+2) = AE/3.6
⇒ 2/4 = AE/3.6
⇒ AE = [3.6 * 2] / [4]
⇒ AE = 1.8 cm
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