Apply BPT to triangle ABC with DE || BC, where AD = (4x - 3), DB = (8x - 7), AE = (3x - 1) and EC = (5x - 3). The value of x is ____.

Question

Accepted Answer

1. 4x-3/8x-7 = 3x-1/5x-3. Cross: (4x-3)(5x-3) = (8x-7)(3x-1). LHS = 20x^2 -27x +9. RHS = 24x^2 -29x +7. So 20x^2-27x+9 = 24x^2-29x+7, 0 = 4x^2 -2x -2, 2x^2 - x - 1 = 0, (2x+1)(x-1)=0, x = 1.

Apply BPT to triangle ABC with DE || BC, where AD = $(4 x - 3)$ , DB = $(8 x - 7)$ , AE = $(3 x - 1)$ and EC = $(5 x - 3)$ . The value of $x$ is ____.

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More Class 10 Basic Proportionality Theorem practice

Apply BPT to triangle ABC with DE || BC, where AD = (4x−3), DB = (8x−7), AE = (3x−1) and EC = (5x−3). The value of x is ____.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Basic Proportionality Theorem practice

Apply BPT to triangle ABC with DE || BC, where AD = $(4 x - 3)$ , DB = $(8 x - 7)$ , AE = $(3 x - 1)$ and EC = $(5 x - 3)$ . The value of $x$ is ____.