Question

In the fig DE||BC in triangle ABC. Such that BC =8 AB=6 and DA = 1.5 find DE

Answer 1

Answer:

DE= 32

Explanation:

In triangle ABC and triangle ADE

          angle A = angle A [ common ]

     angle ABC = angle ADE [ corresponding angles ]

                    triangle ABC ~ triangle ADE  [AA]

        therefore,  AB/DA = DE/BC

                          6/1.5 = DE/8    

                            480/15 = DE  

                                  32 = DE

               

Answer 2

Here is your answer----

AD=1.5cm

BD=4.5cm

Now, triangle ABC and ADE,

DAE=BAC(common)

AED=ACB(corresponding angles)

Hence, by AA similarity rule, triangle ABC~ADE

By CPST,

DE/BC=AD/AB

DE/8=1.5/6

DE=2cm

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