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Ratio of Sides of a Triangle Determined Using Its Angles

Find the ceva...

Question

Find the cevain for the following diagram.

¯ ¯¯¯¯¯¯ ¯ A B

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¯ ¯¯¯¯¯¯¯ ¯ A D

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¯ ¯¯¯¯¯¯ ¯ A C

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¯ ¯¯¯¯¯¯¯ ¯ B D

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Solution

The correct option is A $¯ ¯¯¯¯¯¯¯ ¯ A D$
A cevian is a line segment which joins a vertex of a triangle with a point on the opposite side.
Here, $¯ ¯¯¯¯¯¯¯ ¯ A D$ is cevain.

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A B C, D

E

D E

∥

B C

A B = 12 c m, A D = 8 c m, A E = 12 c m a n d A C = 18 c m

A B = 5.6 c m, A D = 1.4 c m, A C = 7.2 c m a n d A E = 1.8 c m

A B = 10.8 c m, B D = 4.5 c m, A C = 4.8 c m a n d A E = 2.8 c m

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Δ A B D, A B ⊥ B D

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A B = 4 c m, B C = 2 c m

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A C + B D = A D + B C

A B + C D = A D - B C

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