solving triangles given two values
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Solving TrianglesA = 33˚ and b = 5.8 Find B.
Find a. Find c.
A
B
C
a
b
c
Since we know angle A, we can find angle B (180 – (A +90))
Using A and b to find a Tan A = a/b Solve for a
Using A and b to find c cos A = b/c Solve for cOR use the Pythagorean Theorem
Solving Trianglesa = 23 and c = 45 Find b.
Find A. Find B.
A
B
C
a
b
c
Since we know a and c, use the Pythagorean Theorem to solve for b.
Using a and c to find A sin A = a/c A = sin-1 a/c
Using a and c to find B cos A = a/c A = cos-1 a/cOR 180 – (A + 90)
Solving TrianglesB = 40˚ and b = 26 Find C.
Find a. Find c.
A
B
C
a
b
c
Since we know angle B, we can find angle C (180 – (B + 90))
Using B and b to find a sin B = b/aSolve for a
Using B and b to find c tan B = b/cSolve for cOR use Pythagorean Theorem
Solving Trianglesa = 65 and c = 55 Find B.
Find C. Find b.
A
B
C
a
b
c
Using a and c to find B cos B = c/a B = cos-1 c/a
Using a and c to find C sin C = c/a C = sin-1 c/a
Since we know a and c, use the Pythagorean Theorem to find b.