Triangular region T1 and T2 have equal areas and have heights h1 and h2 respectively

Quantity A	Quantity B
\(\frac{(area of T1)}{h1}\)	\(\frac{area of T2)}{h2}\)

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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Another approach is to look at different cases.

Area of a triangle = (base)(height)/2

case 1:
T1 has base of 4 and a height (h1) of 4
T2 has base of 4 and a height (h2) of 4

Area of T1 = (4)(4)/2 = 8
Area of T2 = (4)(4)/2 = 8
As you can see the two triangles have the same area.

We get:
Quantity A: (area of T1)/h1 = 8/4 = 2
Quantity B: (area of T2)/h2 = 8/4 = 2
In this case, the the two quantities are equal


case 2:
T1 has base of 4 and a height (h1) of 3
T2 has base of 3 and a height (h2) of 4

Area of T1 = (4)(3)/2 = 6
Area of T2 = (3)(4)/2 = 6
As you can see the two triangles have the same area.

We get:
Quantity A: (area of T1)/h1 = 6/3 = 2
Quantity B: (area of T2)/h2 = 6/4 = 1.5
In this case, the quantity A is greater

Answer: D
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