SOLUTION: 1 What is the effect on the area of a triangle if the base is doubled and the height is cut in half ? Show me a example of answer ? 2 What happens to the area, if the base is do

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 1 What is the effect on the area of a triangle if the base is doubled and the height is cut in half ? Show me a example of answer ? 2 What happens to the area, if the base is do      Log On

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Question 660871: 1 What is the effect on the area of a triangle if the base is doubled and the height is cut in half ? Show me a example of answer ?
2 What happens to the area, if the base is doubled and the height remains the same? Show me a example of answer ?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
1 the area of a triangle is A=%281%2F2%29b%2Ah
if the base is doubled (2b) and the height is cut in half (h%2F2), we have
A=%281%2F2%29%282b%2Ah%2F2%29
A=%281%2F2%29%28cross%282%29b%2Ah%2Fcross%282%29%29
A=%281%2F2%29%28b%2Ah%29 .....the area ..highlight%28remains_same%29
let b=7 and h=4, then area is

A=%281%2F2%297%2A4
A=%281%2F2%2928
A=28%2F2
A=14

if the base is doubled (2%2A7=14) and the height is cut in half (4%2F2=2), we have

A=14..the area highlight%28remains_same%29

2
if the base is doubled (2b) and the height remains the same (h), we have
A=%281%2F2%29%282b%2Ah%29

A=%281%2Fcross%282%29%29%28cross%282%29b%2Ah%29

A=b%2Ah ............the area highlight%28doubles%29

example: let b=7 and h=4, as above

if the base is doubled (2%2A7=14) and the height remains sam (4), we have

A=28.......the area highlight%28doubles%29