in a triangle ABC, D is the midpoint of BC and E is the midpoint of AD. IF area of triangle
ABC is 144 centimetre square then find the area of triangle DCE
done, see your previous post on this
To find the area of triangle DCE, we can use the concept of ratios and proportion.
Let's denote the area of triangle DCE as x.
We know that triangle DCE is similar to triangle ABC, as they share a common angle at point C, and the lines DE and AB are parallel due to the midpoints.
Since D is the midpoint of BC, we can determine that the length ratio between DE and AB is 1:2. This means that DE is half the length of AB.
Similarly, since E is the midpoint of AD, we can determine that the length ratio between DCE and ABC is also 1:2. This implies that the area of triangle DCE is one-fourth the area of triangle ABC.
Therefore, the area of triangle DCE is (1/4) * 144 cm^2.
Calculating the value, we find that the area of triangle DCE is 36 cm^2.