The base of a triangle exceeds the height by 3 cm if the area is 170 cm² what is the length of the base and the height of the triangle

Let's consider the length of the height of the triangle to be and the length of the base of the triangle to be represented by .

From the information in the problem, we can say that:

Now, we have the lengths of the base and height represented as expressions. We can use the formula for area of a triangle () and set it equal to 170 to find the lengths of the base and height, as shown below:

We have figured out that the height of the triangle is 17 cm. To find the base, we can substitute the value we found for the height into the equation. From this equation (which was , from above), we can find that the base of the triangle is 20 cm (b = 17 + 3 = 20).

paula, cory, and krista