33. In triangle ABC, AC=3AB.If AD bisects angle A with D lying on BC and E is the foot of the perpendicular from C to AD, then (area of ABC)/(area of CDE) is equal to

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Q. Suppose ABC is an isosceles triangle such that AB = AC and AD is the altitude from A on BC. Prove that (i) AD bisects

∠ A

, (ii) AD bisects BC.

Q. Triangle

A B C

is angled at

A

A D

is drawn perpendicular to

B C

. If

A B = 10 c m, A C = 12 c m

, find the area of

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$△ A B C$ is right-angled at $A . A D$ is perpendicular to $B C, A B = 5 c m, B C = 13 c m$ and $A C = 12 c m$ . Find the area of $△ A B C$ . Also, find the length of $A D$ .

$△ A B C$ is right angled at $A$ . $A D$ is perpendicular to $B C$ . If $A B = 5 c m, B C = 13 c m$ and $A C = 12 c m$ . Find the area of $△ A B C$ . Also find the length of $A D$ .