A triangle has an area of 30 cm² and a base of 10 cm. What is the height?

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Question: A triangle has an area of 30 cm² and a base of 10 cm. What is the height?

Options:

Correct Answer: 6 cm

Solution:

Area = 1/2 * base * height. Therefore, height = (2 * Area) / base = (2 * 30) / 10 = 6 cm.

A triangle has an area of 30 cm² and a base of 10 cm. What is the height?

A triangle has an area of 30 cm² and a base of 10 cm. What is the height?

Step 1: Write down the formula for the area of a triangle: Area = 1/2 * base * height.
Step 2: Identify the values given in the question: Area = 30 cm² and base = 10 cm.
Step 3: Rearrange the formula to solve for height: height = (2 * Area) / base.
Step 4: Substitute the values into the rearranged formula: height = (2 * 30) / 10.
Step 5: Calculate the numerator: 2 * 30 = 60.
Step 6: Divide the result by the base: height = 60 / 10.
Step 7: Calculate the final result: height = 6 cm.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.
Rearranging Formulas – Understanding how to manipulate the area formula to solve for height.