Finding the Base of a Triangle Given Its Area and Height
Apply the geometry problem-solving strategy to find the base of a triangle when its area and height are known.
Problem: A triangular tent door has an area of square feet. The height is feet. What is the length of the base?
- Read: A triangle has an area of sq. ft. and a height of ft. Draw and label the figure.
- Identify: The length of the base.
- Name: Let the length of the base.
- Translate: Write the triangle area formula and substitute the given values:
- Solve: Multiply both sides by to clear the fraction: . Divide by to completely isolate : .
- Check: Using the area formula, verify that checkmark
- Answer: The length of the base is feet.
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