Question

In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).

Hint:

When cross-multiplying in BPT problems, look for algebraic identities like \((x+2)(x-2) = x^2-4\) to simplify your work.

Answer 1

Step 1: Solving OR (B):
1. In similar triangles, the ratio of corresponding sides is equal: \(\frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ}\).
2. (Assuming standard figure values where ratios are set): Set up the proportion: \(\frac{Side_1}{Side_2} = \text{Scale Factor}\).
3. Solve for the unknowns \(x\) and \(y\) by isolating them in the linear equations formed by the ratios.
Step 2: Final Answer (OR):
The values are found by equating the ratios of corresponding sides.