Question

The figure shows two right triangles, each with its longest side on the same line. Z 3 X T y 2 R. S 1. Explain how you know the two triangles are similar 2. How long is XY? 3. For each triangle, calculate (vertical side) = (horizontal side). 4. What is the slope of the line? Explain how you know.

Answer 1

The triangle are similar because the ratio between 2 sides is the same as the ratio between another 2 sides.

The included angle(angle S and Y) are equal( 90 degree)