The height of a triangle is increased by 15% and the base is increased by 10%. Find the increase in its area.
To find the increase in the area of the triangle, we first need to calculate the original area and the new area.
Let's assume the original height of the triangle is h, and the original base is b.
The original area of the triangle is given by:
Original Area = (1/2) * base * height
So, the original area can be calculated as:
Original Area = (1/2) * b * h
Now, the height of the triangle is increased by 15%, which means the new height is (h + 0.15h) = 1.15h.
Similarly, the base of the triangle is increased by 10%, which means the new base is (b + 0.10b) = 1.10b.
The new area of the triangle can be calculated as:
New Area = (1/2) * new base * new height
= (1/2) * 1.10b * 1.15h
To find the increase in the area, we subtract the original area from the new area:
Increase in Area = New Area - Original Area
= [(1/2) * 1.10b * 1.15h] - [(1/2) * b * h]
Now, we can simplify this expression to find the increase in area.
Note: You would need the specific values of the height and base of the triangle to get an actual numerical answer.