A(6, 3), B(-3, 5), C(4, -2) and (x, 3x) are four points. If Δ DBC : Δ ABC = 1 : 2, then x is equal to

Question

Philoid · Accepted Answer

The area of a triangle with vertices D (x, 3x), B (− 3, 5) and C (4, − 2) is given below:

Area of ∆DBC

⇒ Area of ∆DBC = 14x – 7 sq units

Similarly, the area of a triangle with vertices A (6, 3), B (− 3, 5) and C (4, − 2) is given below:

Given:

∆DBC: ∆ABC = 1: 2

⇒ 8x – 4 = 7