Question

verify that \\( \triangle b a c \sim \triangle m k l \\) by finding the scale factor from \\( \triangle b a c \\) to \\( \triangle m k l \\). if the triangles are not similar, enter none. \\( \triangle b a c: b a=35, a c=45, b c=50 \\) \\( \triangle m k l: m k=9, k l=11, m l=11 \\)

Explanation:

Step1: Calculate the ratios of corresponding sides

For \(\triangle BAC\) and \(\triangle MKL\), we need to check the ratios of their sides. Let's assume the correspondence \(BA\) with \(MK\), \(AC\) with \(KL\), \(BC\) with \(ML\).
The ratio of \(BA\) to \(MK\) is \(\frac{BA}{MK}=\frac{35}{9}\approx3.89\).
The ratio of \(AC\) to \(KL\) is \(\frac{AC}{KL}=\frac{45}{11}\approx4.09\).
The ratio of \(BC\) to \(ML\) is \(\frac{BC}{ML}=\frac{50}{11}\approx4.55\).

Answer:

None