Question

In the given figure, DE parallel to AB AD=7 cm CD=5 cm and BC=18 cm find BE

Answer 1

Step-by-step explanation:

1. use the basic proportionlity tearom
2. DC/DA=CE/EB
3. 5/7=18-BE/BE
4. 5 BE=

Answer 2

BE=10.5 cm

Step-by-step explanation:

Given:DE is parallel to AB

AD=7 cm

CD=5 cm

BC=18 cm

AC=CD+DA=5+7=12 cm

Using triangle proportionality theorem

Therefore,

$\frac{AD}{CA}=\frac{BE}{BC}$

$\frac{7}{12}=\frac{BE}{18}$

$BE=\frac{7}{12}\times 18=\frac{21}{2}=10.5 cm$

Hence, BE=10.5 cm

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