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Triangle Area: Base 8 cm, Area 24 sq cm, Find Height
Published on October 7, 2024
Geometry
Find the height of a triangle with an area of 24 square centimeters and a base of 8 centimeters. The solution reveals the height to be 6 centimeters.
Question
The area of a triangle is 24 square centimeters. If its base is 8 cm, what is its height?
Answer
Here’s how to solve the problem step-by-step:
1. Recall the formula for the area of a triangle:
Area = (1/2) * base * height
2. Plug in the given values:
We know the area is 24 square centimeters and the base is 8 cm:
24 = (1/2) * 8 * height
3. Simplify the equation:
24 = 4 * height
4. Isolate the height:
Divide both sides of the equation by 4:
24 / 4 = height
5. Calculate the answer:
6 = height
Therefore, the height of the triangle is 6 centimeters.