The triangle that is similar to triangle ABC is triangle ZXY.
Similar triangles
Similar triangles are triangles that have equal side lengths and angles.
Considering triangle ZXY
The value of angle X using different trigonometry ratio is calculated as follows;
[tex]sin(X) = \frac{6}{24} = \frac{1}{4} \\\\cos(X) = \frac{6\sqrt{15} }{24} = \frac{\sqrt{15} }{4} \\\\tan(X) = \frac{6}{6\sqrt{\sqrt{15} } } = \frac{1}{\sqrt{15} }[/tex]
Thus, the triangle that is similar to triangle ABC is triangle ZXY.
Learn more about similar triangles here: https://brainly.com/question/11899908
