Question

In Fig. 4.138,XY||BC . Find the length of XY.

Answer 1

Answer:

xy=1/2BC(by mid point theorem)

then

xy=1/2×6

xy=3cm

Answer 2

Length of XY = 1.5cm

Step-by-step explanation:

Given: XY||BC .

Find: length of XY.

Solution: We find that  ΔABC ~ ΔAXY. (AA similarity)

XY||BC

∠A is common.

Similar triangles will have the corresponding sides in the same proportion.

AX/AB = XY/BC

XY/6 = 1/4

XY = 6/4 = 1.5

Length of XY = 1.5cm