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15. diagram of triangles with side - lengths labeled: m - 14 - v - 28 -…

Question

15.

diagram of triangles with side - lengths labeled: m - 14 - v - 28 - u, l - 8 - v, t - 49 - v

δvut ~ ______

state the postulate that proves these triangles are similar.

a) aa
b) sas
c) sss
d) not similar

16.

could be any kind sas sss or aa

Explanation:

Step1: Calculate side - length ratios

Calculate the ratios of corresponding sides. $\frac{VU}{ML}=\frac{28}{14} = 2$, $\frac{VT}{MV}=\frac{49}{8 + 14}=\frac{49}{22}
eq2$, $\frac{UT}{LV}=\frac{?}{8}$ (no information about $UT$). Since the ratios of the corresponding sides are not equal, the triangles are not similar.

Answer:

d) Not similar