How do you find the area of a shaded area in a triangle and assume the area of the largest triangle is one unit?
If the largest (outer) triangle has area =1, and it has a base length b and height h, then
(1/2) b h = 1
bh = 2
Then use whatever information you have on the base b' and height h' of the shaded triangle, and compute b' h' in terms of b h. Call the ratio a
b' h'/ b h = a
The shaded triangle will have area
A' = (1/2) b' h' = (1/2) a b h
When you are done, set bh = 2
A' = x
Find the area. Use 3.14 for π. (Assume d = 8 in.)
area of a triangle 72cm squared
base12 what is the height?
area of a triangle 72cm squared
base=12 what is the height?
To find the area of the shaded triangle, you need to know the ratio of its base and height to that of the largest triangle. Let's assume this ratio is 'a'.
In the equation bh = 2, we have already determined that the base and height of the largest triangle multiply to give 2.
Now, to find the area of the shaded triangle, we can use the formula for the area of a triangle: A = (1/2) base * height.
Since the base and height of the shaded triangle are related to the base and height of the largest triangle by a ratio 'a', we can write the equation:
A' = (1/2) a * base * height
Here, A' represents the area of the shaded triangle.
Now, if you set bh = 2 (as determined for the largest triangle), you can substitute this into the equation for the area of the shaded triangle:
A' = (1/2) a * 2
Simplifying the equation, we get:
A' = a
So, the area of the shaded triangle is equal to the value of 'a'.