What is the height of a triangle with an area of 36 cm² and a base of 12 cm?

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Question: What is the height of a triangle with an area of 36 cm² and a base of 12 cm?

Options:

Correct Answer: 6 cm

Solution:

Area = 1/2 * base * height; 36 = 1/2 * 12 * height; height = 36 / 6 = 6 cm.

What is the height of a triangle with an area of 36 cm² and a base of 12 cm?

What is the height of a triangle with an area of 36 cm² and a base of 12 cm?

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. We know the area is 36 cm² and the base is 12 cm, so we write: 36 = 1/2 * 12 * height.
Step 3: Calculate 1/2 * 12. This equals 6, so now we have: 36 = 6 * height.
Step 4: To find the height, divide both sides of the equation by 6. So, height = 36 / 6.
Step 5: Calculate 36 divided by 6, which equals 6. Therefore, the height of the triangle is 6 cm.

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