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7. test for sss. (diagrams of triangles vuw with sides 22, 35, 28 and t…

Question

  1. test for sss.

(diagrams of triangles vuw with sides 22, 35, 28 and triangle lmn with sides 25, 20, 16)
(handwritten notes with fractions and equalities)
options: not similar, aa~, sss~, sas~ (
ot similar\ is circled)

Explanation:

Step1: Identify side lengths

For $\triangle VWU$: sides are $22$, $28$, $35$.
For $\triangle LMN$: sides are $25$, $16$, $20$.

Step2: Find ratios of corresponding sides

  • $\frac{22}{25} = 0.88$
  • $\frac{28}{16} = 1.75$
  • $\frac{35}{20} = 1.75$

Step3: Check SSS similarity

SSS similarity requires all three ratios to be equal. Here, $\frac{22}{25}
eq \frac{28}{16} = \frac{35}{20}$, so the triangles are not similar by SSS.

Answer:

Not Similar