Question

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

Answer 1

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

Answer 2

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

Explanation:

Since we have given that

In Triangle AHM,

AH = 30

AM = 38

In Triangle TSE,

TS = 15

TE = 19

So, Ratio will be

`(AH)/(TS)=(AM)/(TE)\\\\(30)/(15)=(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.