Question

A diagonal of a quadrilateral is 16m. the Perpendiculars from two vertices of diagonals are 6m and 8m . What is the area of quadrilateral ?​

Answer 1

Answer:

HEY!! HERE IS REQUIRED ANSWER STEPWISE-:

Draw the given diagonal. You got two triangles with common base. The heights of the triangles are 6 and 8.

If the triangles are on both sides of the diagonal, the answer is

16*8/2+16*6/2 = 112.

If the triangles are on the same side of the diagonal ( the quadrilateral is not convex), the answer is

16*8/2-16*6/2 = 16.

Please review the formula for the area of a triangle which is base times height divided by 2.