[Solved] Caroline is making a triangular flag with a base of 10 inches and a height of 8 inches. What is the area of the flag?
To find the area of a triangle, we use the formula:
Area=12×base×heightArea=21×base×height
Concept Used: Area of a Triangle
The area of a triangle is half the product of its base and height.
Detailed Explanation:
1. Identify the Given Information
From the problem, we know:
- Base of the triangle (�b) = 10 inches
- Height of the triangle (ℎh) = 8 inches
2. Apply the Formula to Find the Area
Using the formula for the area of a triangle: Area=12×�×ℎArea=21×b×h
Substitute in the given values: Area=12×10 inches×8 inchesArea=21×10 inches×8 inches
Let’s calculate the area using the given values.
2. Apply the Formula to Find the Area (Continued)
Using the formula for the area of a triangle and substituting the given values: Area=12×10 inches×8 inches=40 square inchesArea=21×10 inches×8 inches=40 square inches
Conclusion: The area of the triangular flag that Caroline is making is 40 square inches40 square inches.