1.

In ΔABC, a line parallel to BC cuts a B and AC at X and Y(a) If AB = 3.6cm, AC = 2.4cm, AX = 2.1 cm, what is the length of AY?(b) If AB = 2cm, AC = 1.5cm, AY = 0.9cm what is the length of BX?

Answer»

a. \(\frac{AB}{AX}=\frac{AC}{AY}\) \(\Rightarrow \frac{3.6}{2.1}=\frac{2.4}{AY};\)

⇒ 3.6 × AY = 2.4 × 2.1 

⇒ AY = 1.4 cm

b. Let length of AX = x cm

\(\frac{AX}{AB}=\frac{AY}{AC}\) \(\Rightarrow \frac{x}{2}=\frac{0.9}{1.5};\)

\(1.5\times x=1.8\)

⇒ x = 1.2;

BX = AB – AX; BX = 2 – 1.2 = 0.8 cm


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