Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Quadrilateral area=S, find area of triangle in terms of S?
In quadrilateral ABCD, lines AD and BC are parallel. M is the midpoint of AB. S is the area of ABCD. Find the area of triangle DMC in terms of S.
2 Answers
- Captain MephistoLv 71 decade agoFavorite Answer
Area of a qudralateral is:
Area = (1/2)(AD+BC)h. where h is the perpendicular distance between the sides AD and BC
Area of DMC is (1/2)h1*BC + (1/2)h2*AD
But h1 is the altitude of the triangle BCM and it is parallel to h and equal to h/2 and likewise for h2 using the AMD triangle. It is easier to see if you draw out the problem. So:
h1 = h2 = h/2 so:
Area of DMC = (1/4)h(BC + AD)
Therefore the area of DMC is S/2
- ?Lv 44 years ago
nicely you gave teh equation wiuth the knowns of teh top and the backside it truly is a surprisingly straightforward plug and chug A = a million/2 *Base * hieght A= a million/2 * 20 m * 22 m Plug and chug A= 220 m ^2