What is the percentage of increase in area of a triangle if its sides are doubled?
Table of Contents
- 1 What is the percentage of increase in area of a triangle if its sides are doubled?
- 2 How many times the area is changed if the sides of a triangle are doubled?
- 3 What is the percentage increase in the area of a triangle if its side is tripled?
- 4 How many times area of a triangle is changed if each of its side is halved?
What is the percentage of increase in area of a triangle if its sides are doubled?
Therefore the percentage increase in area =3AA×100=300 \%. So the percentage increase in the area of a triangle if each side is doubled is 300\%. So this is the required answer.
How many times the area is changed if the sides of a triangle are doubled?
Four times area is changed, when sides of a triangle are doubled.
What will happen to the semi perimeter when perimeter of triangle is doubled?
Conclusion: As dimensions are doubled; area is increased by a factor of 4. Let the sides are 1,2,2. So semi perimeter is (1+2+2)/2=5/2. Then the area becomes [(5/2(5/2–1)(5/2-2)(5/2-2)]^1/2=[5/2×3/2×1/2×1/2]^1/2=1/4×(15)^1/2.
How many times area is changed when sides of a triangle is tripled?
How many times area is changed when sides of a triangle are tripled? 3 times.
What is the percentage increase in the area of a triangle if its side is tripled?
Increase is 900\% -100\% =800\% where 100\% refers to the area of original triangle which is to be deducted from area of increased triangle.
How many times area of a triangle is changed if each of its side is halved?
The general formula for a triangle is Area=1/2 x a x b x sinC, where a and b are both sides of a triangle, and C is the angle between them. When you halve the sides, the angles will remain the same, as the proportions of the triangle will be unchanged. Therefore, the only changes in the equation are a and b.
What is the percent decrease in the area of triangle If each of side is halved?
When the lengths of sides are halves, the triangle is similar and reduced. That’s one-eighth of the original triangle. That’s the percentage decrease will be 12.5\%. That’s the area of the reduced triangle will be 87.5\% of the original triangle.
When all the sides of the triangle is tripled its area is increased by?
According to the condition, if the measure of the sides are increased by three times, then the area will be = √3/4 (3a)². = 800 \% or 8 times.