Question

In Figure 2, DE || BC. Find the length of side AD, given that AE = 1:8 cm,
BD = 7.2 cm and CE = 5.4 cm.
1.8 cm
7.2 cm
5.4 cm
BL
Figure 2
30/2/3
P.T.​

Answer 1

Given : DE || BC. AE = 1.8 cm,   BD = 7.2 cm and CE = 5.4 cm.

To Find :    length of side AD

Solution :

DE || BC

Apply BPT  Basic proportionality Theorem ( Thales Theorem)

AD/BD  = AE / CE

AD =  ?

BD = 7.2 cm

AE = 1.8 cm

CE = 5.4 cm

=> AD/ 7.2  = 1.8/5.4

=> AD / 7.2 = 1/3

=> AD = 7.2/3

=> AD = 2.4  cm

length of side AD = 2.4 cm

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Answer 2

$Applying \: BPT \\ </p><p>so \: here \\ </p><p>AD/ DB= AE/EC \\ </p><p>x/7.2= 1.8/5.4 \\ </p><p>x/7.2= 1/3 \\ </p><p>x= 7.2/3 \\ </p><p>= 2.4 cm</p><p></p><p></p><p>$