Three sides of a triangle is 17, 20 and 21 .A square is inscribed inside the triangle which touches the two sides of triangle and one side of which is on lager side of a triangle .what is the lenght of sides of squre.

• correct qestion is sides of triangle is 10,17,21
• 9 years agoHelpfull: Yes(1) No(0)
• let side of square be x
  1/2*x*(20-x)+1/2*x*(17-x)+21=84 where 84 is area of triangle
  x=5.29
• 9 years agoHelpfull: Yes(1) No(1)
• 168/29
  u can find d hight = 8 if base =21
  then 8/21=h-a/h
  solve this
  
• 9 years agoHelpfull: Yes(1) No(0)
• we know Area= sqrt((s(s-a)(s-b)(s-b)), and s=(a+b+c)/2,
  s=(17+20+21)/2,=>s=29
  area=158.29
  As the side of square is on the larger side of tringle. so the maximum area of square , which can be inscribed in tringle is 144sq units
• 9 years agoHelpfull: Yes(1) No(0)