Q1 of 62 Page 193

If a straight line intersects the sides AB and AC of a ΔABC at D and E respectively and is parallel to BC, then =


Given: DE intersect AB and AC and DE || BC


Using Basic Proportionality theorem which states that if a straight line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the ratio



{Reciprocal of above}


{Adding 1 on both sides}




{Reciprocal of above}

More from this chapter

All 62 →
6

A lotus is 20 cm above the water surface in a pond and its stem is partly below the water surface. As the wind blew, the stem is pushed aside so that the lotus touched the water 40 cm away from the original position of the stem. How much of the stem was below the water surface originally?

 7

A point O in the interior of a rectangle ABCD is joined to each of the vertices A, B, C and D. Prove that OA2 + OC2 = OB2 + OD2

 2

In Δ ABC, DE is || to BC, meeting AB and AC at D and E.

If AD = 3 cm, DB = 2 cm and AE = 2.7 cm, then AC is equal to

 3

In ΔPQR, RS is the bisector of ∠R. If PQ = 6 cm, QR = 8 cm, RP = 4 cm then PS is equal to