SOLUTION: respected sir,
1] Area of a right-angled triangle is doubled while the base is reduced to its half. What % increase occurs in its height?
plz help me to solve this geometry p
Algebra.Com
Question 198254: respected sir,
1] Area of a right-angled triangle is doubled while the base is reduced to its half. What % increase occurs in its height?
plz help me to solve this geometry problem...
thank u.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Area of a right-angled triangle is doubled while the base is reduced to its half. What % increase occurs in its height?
------------
A = bh/2
If b is half, then h has to be 4x to double the area.
A = b*h/2
2A = (b/2)*h*x/2 = (x/2)*bh/2
x = 4A/A
x = 4
--------
The factor of increase is 4.
h increased from 1h to 4h, an increase of 3h --? 300% NOT 400%
4 times as much is a 300% increase.
Despite what dufuses on TV say, it is NOT a 400% increase.
RELATED QUESTIONS
if the median drawn on the base of a triangle is half its base, the triangle will be?... (answered by stanbon)
respected sir,
plz solve my % difficulty.
1] A corporation triples its annual bonus (answered by Theo)
The height and base of a right angled triangle are 15cm and 20cm. If the height is... (answered by josgarithmetic,MathTherapy,greenestamps,ikleyn)
The height of a right angled triangle is twice as long as its base. If the area is... (answered by Alan3354)
What is the effect on the area of a triangle if the base is doubled and the height is cut (answered by richwmiller)
What is the effect on the area of a triangle if the base is doubled and the height is cut (answered by stanbon)
The ratio of base and hypotenuse is 4:5 of a right angled triangle. Its perimeter is 48... (answered by Cromlix)
The area of a rectangle is 243 in^2. If the base is reduced to one-third its original... (answered by Theo)
The hypotenuse of a right angled triangle is 2 cm. more than its base and 1 cm. more than (answered by vleith)