Question

ABC and AED are straight lines. BE and CD are parallel. BE = 1.5 cm. CD = 6 cm. AD = 5 cm. Calculate the length of ED. ​

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Answer 1

Answer:

Abc and AED are starting line . be and CD are parallel . BE =1.5 cm. CD = 6 cm. AD = 5cm . ED 6cm.

Answer 2

Answer:

The length of ED = 4.2 cm

Step-by-step explanation:

In Δ ABE and Δ ACD

∠ABE = ∠ACD       ( Corresponding angles )

∠AEB = ∠ADC       ( Corresponding angles )

∠A   is common in both triangles.

∴  Δ ABE  is similar to  Δ ACD         ( By AAA rules )

Hence,  $\frac{BE}{CD} = \frac{AE}{AD}$

           ⇒ $\frac{1.5}{6}=\frac{AE}{5}$

           ⇒ AE = $\frac{6}{5 * 1.5 }$  

           ∴ AE = 0.8 cm

Therefore,

ED  = AD - AE

      =  5  -  0.8

      =  4.2  cm