Question

in the given figure DE is parallel to AB, AD is equal to 7 cm CD is equal to 5 centimetre and BC is equal to 18 cm find BE?

Answer 1

Answer:

63/6 cm

Step-by-step explanation:

let ce as x

therefore , triangle abc is similar to dec

hence, 5/7=x/18

thus, 18-x=63/6=be

Answer 2

Length of BE = 10.5 cm.

Given:

• DE is parallel to AB.
• AD is equal to 7 cm.
• CD is equal to 5 cm.
• BC is equal to 18 cm

To find:

     Length of BE

Explanation:

• AC =AD+DC =7+5 =12 cm.
• From given figure it can be seen that
• DE is parallel to AB, ∠ACB =∠DCE
• So from symmetry of triangle.
• Δ DCE and Δ ABC are symmetric.

                        $\frac{AC}{DC}$ =$\frac{BC}{CE}$

                        $\frac{12}{5}$ =$\frac{18}{CE}$

                        CE = $\frac{18*5}{12}$

                       CE = 7.5 cm.

From given figure BC = BE+CE

                              18 = BE + 7.5

                             BE = 10.5 cm.

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