Math Expression: Area of a Triangle Practice Question

Given a triangle with the area of 20in². Find the height of this triangle given that its base is 5cm.

Step 1

The picture below shows the triangle with the base of 5cm and the height of h.
Step 2

Since the value of the area is given as 20in2, we can substitute A with 30. Similarly, since the base is given as 5cm, we can substitute b with 5. After doing so, we can simplify the equation as shown below:
Step 3

Now, we have 5h = 40. To find h, we need to remove 5. We can do so by dividing both sides of the equation with 5. This is shown below:
Step 4

Now, the calculated number 8, has no meaning unless we include the unit for it. Since the area is in inch², h will be in inch. Hence:

h = 8 in