Question

Triangle DEF has vertices on D(2,1) and E (7,1) and has an area of 15 square units. Plot a possible point F on the grid

Answer 1

The distance between D and E is 5 units and the area of a triangle is:

A=bh/2 if we let DE be the base and A=15 we have

15=5h/2

5h=30

h=6 (there are actually infinitely many solutions to create this height of 6 units high away from the base)

The simplest four are the right triangles formed when F is either:

(2,7), (2,-5), (7,7), and (7,-5)