Question

AD=24cm,AE=32cm, EC=48.Find AB​

Answer 1

Answer:

76

Step-by-step explanation:

Sum of the angles in a triangle=180°

Take AB as x

NOW

AD+AB+AE+EC=180°

24+x+32+48=180

104+x=180

x=180-104

x=76

Answer 2

Answer:

In the given figure if DE ║ BC

           then , ∠ADE = ∠ABC

                     ∠BAC = ∠DAE

By AA similarity criterion ,

                                  ΔADE ≈ ΔABC

                 Therefore,  $\frac{AD}{AB} = \frac{AE}{AC} \\\\AC = 32 + 48 = 80\\\\\frac{24}{AB} = \frac{32}{80} \\\\AB = \frac{80 * 24}{32} \\\\AB = 60 (Ans.)$

                                      Hope it helps

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