If a triangle has an area of 36 cm² and a base of 9 cm, what is its height?

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Question: If a triangle has an area of 36 cm² and a base of 9 cm, what is its height?

Options:

Correct Answer: 6 cm

Solution:

Area = 1/2 * base * height. 36 = 1/2 * 9 * height. Height = (36 * 2) / 9 = 8 cm.

If a triangle has an area of 36 cm² and a base of 9 cm, what is its height?

If a triangle has an area of 36 cm² and a base of 9 cm, what is its height?

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 36 cm² and the base is 9 cm.
Step 3: The equation now looks like this: 36 = 1/2 * 9 * height.
Step 4: To eliminate the fraction, multiply both sides of the equation by 2. This gives you: 72 = 9 * height.
Step 5: Now, to find the height, divide both sides by 9. So, height = 72 / 9.
Step 6: Calculate 72 divided by 9, which equals 8. Therefore, the height is 8 cm.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.
Algebraic Manipulation – Rearranging the area formula to solve for height involves basic algebra.