B. When subtracting large numbers mentally
C. when finding the exact amount
A) similar; SAS similarity; ΔBAC
B) not similar
C) similar; SSS similarity; ΔABC
D) similar; SAS similarity; ΔABC
Answer: The correct option is
(C) similar; SSS similarity; ΔABC.
Step-by-step explanation: We are given to check whether the pair of triangles in the figure are similar to each other or not.
If so, we are to complete the similarity statement.
From the figure, we note that
the lengths of the sides of triangle STU are
ST = 72, TU = 80 and SU = 56.
And, the lengths of the sides of triangle ABC are
AB = 27, BC = 30 and AC = 21.
So, we get
That is,
Therefore, the corresponding sides of the two triangles are proportional.
Hence, triangle ABC and STU are similar by SSS similarity.
Option (C) is CORRECT.
Answer:
Option C) similar; SSS similarity; ΔABC
Step-by-step explanation:
we know that
The SSS similarity state : If the corresponding sides of two triangles are proportional, then the two triangles are similar
In this problem
80/30=56/21=72/27
2.67=2.67=2.67 -----> is true
therefore
The triangles STU and ABC are similar by SSS similarity