Activity 7.1-The Law of Sines Name Vocabulary Oblique Triangle A triangle that i

Question

Activity 7.1-The Law of Sines Name Vocabulary Oblique Triangle A triangle that is not a triangle Reference to an axiom that states that if a pair of triangles have a that are congruent and the pair of corresponding SAS inclusive congruent, then the two triangles are Reference to an axiom that states that if a pair of triangles have a pair of corresponding that are congruent and the ASA inclusive congruent, then the two triangles are Reference to an axiom that states that if a pair of triangles have all pairs of corresponding congruent, then the triangles are In any triangle, every ratio of a side to the of its opposite is Law of Sines Alternative forms for the area of a triangle may be derived by using the law of sines Area of a Triangle Proving the Law of Sines Section

Explanation / Answer

oblique triangle- A triangle that is not a right triangle

SAS- Reference to an axiom that states that if a pair of triangles have a pair of corresponding sides that are congruent and the inclusive angles congruent, than the two triangles are congruent .

ASA- Reference to an axiom that states that if a pair of triangles have a pair of corresponding angles that are congruent and the inclusive sides congruent, than the two triangles are congruent.

SSS- Reference to an axiom that states that if a pair of triangles have all pair of corresponding sides congruent , than the two triangles are congruent .

Law of sines - a/sinA=b/sinB=c/sinC

Area of triangle= (a b/2)sinC

Question number 1

using sine law

sin 15/7.5=sin 20/x

x= 7.5 sin 20/sin 15=9.91

Remaining angle=180-15-20=145 degree

sin 145/y= sin 15/7.5

y= 7.5 sin 145/sin 15=16.6

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