⇒ = 35.76A line is drawn parallel to base of △ , meeting in and in at . If2 , find the length of .

= 4 and = From the question we have, = 4 and = 2 cm Also, ∥ By the property of similar triangles, = ⇒ 1 − = 1 − − − ⇒ = ⇒ = ⇒ 1 = 24 ⇒ = 8 cm = − = 8 − 2 = 6

⇒ = 35.76A line is drawn parallel to base of △ , meeting in and in at . If2 , find the length of .

= 4 and = From the question we have, = 4 and = 2 cm Also, ∥ By the property of similar triangles, = ⇒ 1 − = 1 − − − ⇒ = ⇒ = ⇒ 1 = 24 ⇒ = 8 cm = − = 8 − 2 = 6

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⇒ 𝑀𝑒𝑑𝑖𝑎𝑛 = 35.76
A line 𝐷𝐸 is drawn parallel to base 𝐵𝐶 of △ 𝐴𝐵𝐶, meeting 𝐴𝐵 in 𝐷 and 𝐴𝐶 in at 𝐸. If
2 𝑐𝑚, find the length of 𝐴𝐸.

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10𝑐𝑚

2𝑐𝑚

6𝑐𝑚

12𝑐𝑚

answer is C.

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Detailed Solution

𝐴𝐵

𝐵𝐷

= 4 𝑐𝑚 and 𝐸 =
Question Image

From the question we have,
𝐴𝐵 = 4 𝑐𝑚 and 𝐶𝐸 = 2 cm
𝐵𝐷
Also, 𝐷𝐸 ∥ 𝐵𝐶
By the property of similar triangles,

𝐴𝐷 𝐴𝐸
𝐴𝐵 = 𝐴𝐶
⇒ 1 − 𝐴𝐷 = 1 − 𝐴𝐸
𝐴𝐵 𝐴𝐶
𝐴𝐵 − 𝐴𝐷

𝐴𝐶 − 𝐴𝐸 𝐵𝐷 𝐶𝐸
⇒ 𝐴𝐵 =

𝐴𝐶 ⇒ 𝐴𝐵 = 𝐴𝐶
⇒ 1 = 2
4 𝐴𝐶
⇒ 𝐴𝐶 = 8 cm

𝐴𝐸 = 𝐴𝐶 − 𝐶𝐸 = 8 − 2
𝐴𝐸 = 6𝑐𝑚

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