Draw two isosceles triangles, ∆abc and ∆adc with common base ac . vertexes b and d are in the opposite semi-planes determined by ac . draw the line segment bd . prove: ac ⊥ bd

Statement                                               Reason

∆ABC and ∆ADC are isosceles              Given

Segment AC is a common base
to ∆ABC and ∆ADC                                Given

Let K be the midpoint of the base
of segment AC, then BK is the
perpendicular bisector of segment         perpendicular bisector of isosceles AC.                                                         triangle property.

Also, DK is the perpendicular
bisector of segment AC.                        perpendicular bisector of isosceles                                                                    triangle property.

No he does not because he can only cover 12 square feet from 15 square feet which he will still need 3 more. this is because if 3×5=15 square feet and 15-12=3 which thats the answer