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If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.
If a line drawn parallel to one side of triangle intersecting the other two sides in distinct points divides the two sides in the same ratio, then it is parallel to third side. State and prove the converse of the above statement.
Given △ABC ~ △PQR, ∠A = 30° and ∠Q = 90°. The value of (∠R + ∠B) is
A 1.5 m tall boy is walking away from the base of a lamp post which is 12 m high, at the speed of 2.5 m/sec. Find the length of his shadow after 3 seconds.
In parallelogram ABCD, side AD is produced to a point E and BE intersects CD at F. Prove that △ABE ~ △CFB
The corresponding sides of △ABC and △PQR are in the ratio 3 : 5. AD⊥BC and PS⊥QR as shown in the following figures :
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