The possibile base and height of second triangle is option 4: 16 and 6.
We are given the height and base are inversely proportional for the triangle. Based on this, the area of triangle is given by the formula -
Area = 1/2 × base × height
Keep the values in formula to find the area of first triangle -
Area = 1/2 × 12 × 8
Area = 6 × 8
Area = 48
Now, option a in the choices is incorrect, because there is no variation seen in the two values. Trying the other three options to find the dimensions of same area.
Option 2: 60 and 36
Area = 1/2 × 60 × 36
Area = 30 × 36
Area = 1080
Option 3: 120 and 80
Area = 1/2 × 120 × 80
Area = 60 × 80
Area = 4800
Options 4: 16 and 6
Area = 1/2 × 16 × 6
Area = 8 × 6
Area = 48
Hence, option 4 16 and 6 are correct base and height.
Learn more about triangle -
https://brainly.com/question/17335144
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