The area of the triangle is 120 [tex]cm^{2}[/tex] when height of the triangle is 8 cm greater than its corresponding base.
According to the question,
We have the following information:
We have a triangle with two of its sides as 32 cm and 12 cm.
The height, h, of the triangle is 8 cm greater than its corresponding base.
Now, the corresponding base for h is 12 cm.
So, we have:
Height of the triangle = (8+12) cm
Height = 20 cm
Now, area of triangle = 1/2 *base*height
Area of triangle = (12*20)/2
Area of triangle = (240)/2
Area of triangle = 120 [tex]cm^{2}[/tex]
Hence, the area of the given triangle is 120 [tex]cm^{2}[/tex].
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