Area of a Triangle Practice

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Question 2

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

Answer

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Select and check your answer...

A. 8 in
B. 8 in2
C. 7 in
D. 7 in2

Step by Step Solution

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    Step 1

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

    a triangle with the base of 5cm and height h
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    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:

    calculating the height of a triangle
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    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:

    calculating the height of a triangle
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    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