Answer:
If the height of the triangle is 11 cm greater than its corresponding base, we can represent the base as b and the height as h = b + 11.
Using the formula for the area of a triangle, A = (1/2) bh, we can substitute the values of b and h:
A = (1/2) (b)(b + 11)
A = (1/2) b^2 + (1/2) 11b
If the base of the triangle is 10 cm, then we can substitute b = 10 into the equation:
A = (1/2) (10^2) + (1/2) 11 * 10
A = 50 + 55
A = 105 cm^2
So, the area of the triangle is 105 cm^2.
Explanation: