Area of Rhombus Formula – using Two Triangles

Transcript

Area of Rhombus – using Two TrianglesArea of rhombus ABCD can also be determined by finding the areas of ΔADB and ΔCDB. Let’s see what the Area is Introduction The area of a rhombus can be determined by splitting it into two triangles: and . We know that the diagonals of a rhombus bisect each other at perpendicular angles . Let their intersection be point . Previous Next → Top Triangle First, let's look at the top triangle, . Its base is the diagonal Its perpendicular height is Previous Next →Bottom Triangle Now, let's look at the bottom triangle, . Its base is the same diagonal Its perpendicular height is CO Previous Next → Combining Areas The area of the entire rhombus is the sum of these two triangular areas. Previous Next →