No can you please solve this in terms of Theorem 1 of proportional Thereom

April 13, 2026Mathematics

ScanSolve AI Answer

April 13, 2026

Answer

\frac{3}{8} AC$.

To solve this problem, we will use the Basic Proportionality Theorem (BPT), also known as Thales's Theorem, and properties of similar triangles.

Step 1: Determine the ratio $AB : BC$ . We are given $BC = \frac{3}{8} AC$ . Since $A, B, C$ are collinear, $AC = AB + BC$ . Substitute $BC = \frac{3}{8} AC$ into the equation: $AC = AB + \frac{3}{8} AC$ $AC - \frac{3}{8} AC = AB$ $\frac{5}{8} AC = AB$ So, $\frac{AB}{AC} = \frac{5}{8}$ . From this, $

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Determine the ratio AB : BC. We are given BC = (3)/(8) AC.

Asked on April 13, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 13, 2026

To solve this problem, we will use the Basic Proportionality Theorem (BPT), also known as Thales's Theorem, and properties of similar triangles. Step 1: Determine the ratio AB : BC. We are given BC = (3)/(8) AC. Since A, B, C are collinear, AC = AB + BC. Substitute BC = (3)/(8) AC into the equation: AC = AB + (3)/(8) AC AC - (3)/(8) AC = AB (5)/(8) AC = AB So, (AB)/(AC) = (5)/(8). From this, $