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4. Triangles
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Q24 of 186 Page 263

In a ΔABC, if DE is drawn parallel to BC, cutting AB and AC at D and E respectively such that AB = 7.2 cm, AC = 6.4 cm and AD = 4.5 cm. Then, AE = ?

BY Basic Proportionality Theorem:


If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.



Or


Adding 1 to both sides



=


=


=


AE = 4 cm

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22

In ΔABC it is given that . If ∠B = 70° and ∠C = 50° then ∠BAD = ?

23

In ΔABC, DE || BC so that AD = 2.4 cm, AE = 3.2 cm and EC = 4.8 cm. Then, AB = ?

25

In ΔABC, DE || BC so that AD = (7x — 4) cm, AE = (5x — 2) cm, DB = (3x + 4) cm and EC = 3x cm. Then, we have

26

In ΔABC, DE || BC such that AD/ DB = 3/5. If AC = 5.6 then AE = ?

Questions · 186
4. Triangles
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