Question

Is HAM ~ STE? If so, identify the similarity postulate or theorem that applies?

Answer 1

Answer:  Option 'D' is correct. i.e. Cannot be determined.

Step-by-step explanation:

Since we have given that

In Triangle AHM,

AH = 30

AM = 38

In Triangle TSE,

TS = 15

TE = 19

So, Ratio will be

$\frac{AH}{TS}=\frac{AM}{TE}\\\\\frac{30}{15}=\frac{38}{19}\\\\2=2$

so, Ratio of two sides are equal but it needed an angle too

Because the criteria is SAS, but it does not fulfill the criteria .

Hence, Option 'D' is correct. i.e. Cannot be determined.

Answer 2

GIven just two similar sides we don't know that the triangles are similar. The included angle is like a hinge, generating various triangle shapes.

Choice D - cannot be determined