What is the length of the altitude to the base of a triangle with an area of 50

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Question: What is the length of the altitude to the base of a triangle with an area of 50 cm² and a base of 10 cm?

Options:

Correct Answer: 5 cm

Solution:

Area = 1/2 * base * height. 50 = 1/2 * 10 * height. Height = (50 * 2) / 10 = 10 cm.

What is the length of the altitude to the base of a triangle with an area of 50 cm² and a base of 10 cm?

What is the length of the altitude to the base of a triangle with an area of 50 cm² and a base of 10 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 50 cm² and the base is 10 cm, so it becomes: 50 = 1/2 * 10 * height.
Step 3: Simplify the equation. First, calculate 1/2 * 10, which equals 5. Now the equation is: 50 = 5 * height.
Step 4: To find the height, divide both sides of the equation by 5. So, height = 50 / 5.
Step 5: Calculate the result. 50 divided by 5 equals 10. Therefore, the height is 10 cm.

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