The missing dimension of the triangle is 10 cm.
To find the missing dimension of the triangle, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
We know the area is 110 cm², and we know the base is 14 cm.
We can set up a proportion to solve for the height:
110 = 1/2 * 14 * height
height = 110 / (1/2 * 14)
height = 10 cm
Therefore, the missing dimension of the triangle is 10 cm.
Explanation in detail:
The area of a triangle is equal to half the base times the height. In this case, we know the base is 14 cm and the area is 110 cm².
so we can set up a proportion to solve for the height:
Area = 1/2 * base * height
110 = 1/2 * 14 * height
height = 110 / (1/2 * 14)
height = 10 cm
Therefore, the missing dimension of the triangle is 10 cm.