Q. 474.0( 1 Vote )

In Fig. 4.243, th A. 4

B. 1

C. 3

D. 2

Class 10th RD Sharma - Mathematics 4. Triangles

Answer :

Given in ΔABC, DE || AB.

We know that basic proportionality theorem states that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.

Then

⇒ (x + 3) (3x + 4) = x (3x + 19)

⇒ 3x² + 4x + 9x + 12 = 3x² + 19x

⇒ 19x – 13x = 12

⇒ 6x = 12

∴ x = 2 cm

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In Fig. 4.243, th A. 4B. 1C. 3D. 2

In Fig. 4.243, th A. 4

B. 1

C. 3

D. 2