The length of the base of the triangle is 12m
Area of a triangle
The formula for calculating the area of a triangle is expressed as:
A = 0.5 * base * height
If the height of a triangle is 4 m less than its base, then;
h = b - 4
Substitute
A = 0.5(b)(b-4)
48 = 0.5b²-2b
b²-4b - 96 = 0
Factorise
b² - 12b + 8b - 96 = 0
b(b-12)+8()b-12) = 0
b - 12 = 0
b = 12
Hence the length of the base of the triangle is 12m
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