Given the measures b = 10, c = 8.9, and B = 63°, how many triangles can possibly be formed?
2 answers:
Remember that if in a triangle 
°and 
, we can form two tingles.
In our case:
, 
, and c=b.
To determine how many triangles we can form with the given measures, we are going to find the value of
first:
Now, lets check if that value satisfy the inequality
:
Our triangle satisfies the inequality; therefore, we can conclude that we can form two triangles with the given measures.
In our case:
To determine how many triangles we can form with the given measures, we are going to find the value of
Now, lets check if that value satisfy the inequality
Our triangle satisfies the inequality; therefore, we can conclude that we can form two triangles with the given measures.
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Answer:
S is closest to B.
Step-by-step explanation:
Given a directed line segment from point A to B.
Point P divides the line A to B in a ratio 3:4.
Point Q divides the line A to B in a ratio 4:3.
Point R divides the line A to B in a ratio 2:5.
Point S divides the line A to B in a ratio 5:2.
To find:
The point which is closest to the point B.
Solution:
Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.
We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.
Let the distance between A and B be 7 units.
Now, the distances can be found easily.
The point which has the minimum distance from point B, will be nearest to B.
We can clearly observe that SB is the minimum distance.
Therefore, <em>S is closest to B</em>.