Find the percentage decrease in area of a triangle if it's each side is halved
Find the percentage decrease in area of a triangle if it's each side is halved
Abhay , 7 Years ago
Grade 9
9 grade maths> Find the percentage decrease in area of a...
1 Answers
Soumya Ranjan Mohanty
Last Activity: 7 Years ago
Dear student,
Assuming the triangle to be a rigth angled triangle and sides to be AB,BC and CA and let angle
then previous area= ½ * AB * BC
Now all sides are halved so new triangle is A’B’C’ with A’B’=AB/2, B’C’=BC/2 and C’A’=CA/2.
New area = ½ * A’B’ * B’C’
=1/2*(AB/2)*(BC/2)
=1/2*1/2*previous area
=1/4 * previous area
So decrease = previous area-new area = 3/4*previous area
percentage decrease in area = ¾ * 100 = 75%
So the percentage decrease in area is 75%.
Hope this solved your question.
Thank you,
Soumya Ranjan Mohanty(IIIT Bhubaneswar).
Provide a better Answer & Earn Cool Goodies
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Other Related Questions on 9 grade maths
In the figure (not to scale) AB = CD, angle DAP = angle DPA and A,B,C,D are concycli. If angle ADC = 80°, then find angle ACD.
In the figure (not to scale) AB = CD, angle DAP = angle DPA and A,B,C,D are concycli. If angle ADC = 80°, then find angle ACD.
9 grade maths
1 Answer Available
Last Activity: 2 Years ago
What length of tarpaulin 3m wide will be required to make conical tent of height 8m and base radius 6m ? Assume that the extra length of material that will be required for stitching and wastage in cutting is approximately 20cm ( Use pi= 3.14)
What length of tarpaulin 3m wide will be required to make conical tent of height 8m and base radius 6m ? Assume that the extra length of material that will be required for stitching and wastage in cutting is approximately 20cm ( Use pi= 3.14)
9 grade maths
1 Answer Available
Last Activity: 3 Years ago