find the increase in the area of a triangle if each side is increased to 5 times Share with your friends Share 0 Shruti Tyagi answered this Dear student, Let the Original sides of triangle be a, b, csemi perimeter, s=a+b+c2Area of Original triangle, A=ss-as-bs-cWhen each side is increased to 5 times then new sides become 5a, 5b, 5csemi perimeter, s'=5a+5b+5c2=5a+b+c2=5sArea of new triangle, A'=s's'-5as'-5bs'-5c=5s5s-5a5s-5b5s-5c=5×5×5×5×ss-as-bs-c ...[by taking 5 common from each bracket]=5×5×5×5×s-as-bs-c=5×5×AA'=25×AIncrease in Area =New Area -Original Area=A'-A=25A-A=24A=24×Area of Original triangleThus Increase in Area is 24 times the original area. Regards 0 View Full Answer Aman Pandey answered this Increased by 5 times or increased to 5 times? 0 Aman Pandey answered this 5% area will increase if each side is increased by 5 times. Thank you. :) 0
