Archer is sewing a triangular flag. He starts with the scale drawing on the left and plans to enlarge the flag to match the picture on the right. What will be the AREA of the completed flag?
Find the area with the first triangle of 4 ft, 3 ft and the second triangle r 9 ft. and ?
The area you have to find is the ? , on the second triangle
The area of a triangle can be calculated using the formula:
Area = 1/2 * base * height
For the first triangle with sides of 4 ft and 3 ft, we can use the Pythagorean theorem to find the height:
height = √(4^2 - 1.5^2) = √(16 - 2.25) = √13 ft
Area of the first triangle = 1/2 * 4 ft * √13 ft ≈ 9.09 square feet
For the second triangle with sides of 9 ft and the height still being √13 ft, we can find the area:
Area of the second triangle = 1/2 * 9 ft * √13 ft ≈ 29.09 square feet
Therefore, the area of the completed flag will be approximately 9.09 + 29.09 = 38.18 square feet.