Three cell towers stand at A(2,2), B(6,2) and C(6,8). A drone must cover the triangular region ABC. A second triangle ABD has the same base AB but D(2,8). Which covers more area?

Question

Accepted Answer

They are equal (12 sq units each). Both triangles share base AB = 4 and have the same height = 6 (vertical distance to C or D at y=8). Each area = 1/2(4)(6) = 12 sq units.

Three cell towers stand at A(2,2), B(6,2) and C(6,8). A drone must cover the triangular region ABC.
A second triangle ABD has the same base AB but D(2,8). Which covers more area?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Area of a Triangle (Coordinates) practice

Three cell towers stand at A(2,2), B(6,2) and C(6,8). A drone must cover the triangular region ABC.A second triangle ABD has the same base AB but D(2,8). Which covers more area?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Area of a Triangle (Coordinates) practice

Three cell towers stand at A(2,2), B(6,2) and C(6,8). A drone must cover the triangular region ABC.
A second triangle ABD has the same base AB but D(2,8). Which covers more area?