Question
The composite figure has an area of 156 m² what is the height of the triangle?
3 m
8 m
7 m
6 m
3 m
8 m
7 m
6 m
Answers
Answered by
GPT 3.5
To find the height of the triangle, we first need to determine the area of the triangle. Since the composite figure has an area of 156 m², and we know that the composite figure consists of a rectangle and a triangle, we can subtract the area of the rectangle from the total area to find the area of the triangle.
Let's assume the height of the triangle is "h". The rectangle has a height of 5 m and a length of 14 m.
Area of the rectangle = height x length = 5m x 14m = 70 m²
Area of the triangle = total area - area of rectangle = 156 m² - 70 m² = 86 m²
Now, we can calculate the height of the triangle.
Area of a triangle = 1/2 x base x height
86 m² = 1/2 x 12 m x h
86 m² = 6h
h = 86 m² / 6
h ≈ 14.33 m
Therefore, the height of the triangle is closest to 14 m.
Let's assume the height of the triangle is "h". The rectangle has a height of 5 m and a length of 14 m.
Area of the rectangle = height x length = 5m x 14m = 70 m²
Area of the triangle = total area - area of rectangle = 156 m² - 70 m² = 86 m²
Now, we can calculate the height of the triangle.
Area of a triangle = 1/2 x base x height
86 m² = 1/2 x 12 m x h
86 m² = 6h
h = 86 m² / 6
h ≈ 14.33 m
Therefore, the height of the triangle is closest to 14 m.