Formative Assessment _ Problems_Oblique Triangles

Quiz by Hannah Jean Rico

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- Q1
What is the appropriate equation to solve for the third side in the given figure?

$c=\backslash sqrt\{15^2+18^2-2\backslash left(15\backslash right)\backslash left(18\backslash right)\backslash cos65^o\}$

$c=15\backslash sin65^o$

$c=18\backslash sin65^o$

$c=\backslash sqrt\{15^2+18^2+2\backslash left(15\backslash right)\backslash left(18\backslash right)\backslash cos65^o\}$

30s - Q2
How long is the third side of the given triangle?

20m

18m

19m

17m

30s - Q3
How long is the third side of a triangle if the included angle of the 18-meter and 15-meter sides is 38

^{o}?9m

7m

13m

11m

30s - Q4
One of the teachers in Sto. Niño National High School conducted a home visitation of a student who is no longer participating in learning activities. Having some modules at hand, he needed to drop by the school first. The distance from the teacher's house (T) to school (S) is 40 m and school (S) is 25 m away from the learner's house (L). From the figure, the angle between the segment connecting the learner's house to teacher's house and segment connecting the learner's house to the school is 50

^{o}.Question: How far is the teacher's house from the learner's house?

51m

50m

53m

52m

30s - Q5
Which has the shortest distance?

L and T

T and S

L and S

30s