Saved Bookmarks
| 1. |
In traingle ABC, angle bac =90,AD perpendicular bcDE perpendicular AB DF perpendicular ac Prove that Area of AEDF=root(AE x eb x AF x fc) PLEASE Answer this..... I'll mark u as the branliest....... I'll follow u..... |
|
Answer» Do you see that AEDF is a rectangle? Now its AREA is the multiplication of each breadth and height. Hint: The breadth and height is related to four triangles. The ratio of the two SIDES is equal.ΔAED ≈ ΔDEB → AE : ED = DE : EB ∴ED² = AE × EB, furthermore ED = √AE × EB ΔAFD ≈ ΔDFC ∴FD² = AF × FC, furthermore FD = √AF × FC ED × FD is the area of the rectangle. Now let's find the multiplication of both equations. → ED × FD = √AE × EB × AF × FC therefore PROVED. |
|