If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (

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Question: If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (2020)

Options:

Correct Answer: 6 cm

Exam Year: 2020

Solution:

Area = 1/2 * base * height. Thus, 30 = 1/2 * 10 * height. Solving gives height = 6 cm.

If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (2020)

If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (2020)

Step 1: Write down the formula for the area of a triangle: Area = 1/2 * base * height.
Step 2: Substitute the known values into the formula. Here, the area is 30 cm² and the base is 10 cm.
Step 3: The equation now looks like this: 30 = 1/2 * 10 * height.
Step 4: Calculate 1/2 * 10, which equals 5. Now the equation is: 30 = 5 * height.
Step 5: To find the height, divide both sides of the equation by 5. So, height = 30 / 5.
Step 6: Calculate 30 divided by 5, which equals 6. Therefore, the height is 6 cm.

Area of a Triangle – Understanding the formula for the area of a triangle, which is Area = 1/2 * base * height.
Algebraic Manipulation – Ability to rearrange and solve equations to find the unknown variable (height in this case).