Question

In triangle abc de//bc. if de=3cm,bc=6cm and area of triangle ade=15cmsquare find the area of triangle abc

Answer 1

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Answer 2

Answer:

here's Your answer

Step-by-step explanation:

Since there are 2 triangle's

In ∆ABC and ∆ADE

ang. ADE = ang. ABC

ang. DAE = ang. BAC

Therefore, by A-A Similar criteria rule

∆ABC ~ ∆ABC

area. ∆ ADE = (DE)2

area. ∆ ABC = (BC)2

area. ∆ ADE ={ 3}2

{6}2

= 9 ×area. ABC

36

= 1 × area. ABC

4

area. ∆ABC = 4× area. ABC

4×15 cm2

Hence area of ∆ABC = 60 cm 2