Determine 79364

Given a general triangle ABC. Its perimeter is 30 cm, with side a=2 cm longer than side b and 5 cm shorter than side c. Determine the area of ​​the triangle.

Correct answer:

S =  26.8328 cm2

Step-by-step explanation:

o=30 cm  a=2+b a=c5 a+b+c=o a=2+b a=c5 a+b+c=30  ab=2 ac=5 a+b+c=30  Row2Row1Row2 ab=2 bc=7 a+b+c=30  Row3Row1Row3 ab=2 bc=7 2b+c=28  Pivot:Row2Row3 ab=2 2b+c=28 bc=7  Row321 Row2Row3 ab=2 2b+c=28 1.5c=21  c=1.521=14 b=228c=22814=7 a=2+b=2+7=9  a=9 b=7 c=14  s=2o=230=15 cm  S=s (sa) (sb) (sc)=15 (159) (157) (1514)=12 5=26.8328 cm2

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