solving triangles given two values

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Solving Triangles A = 33˚ and b = 5.8 Find B. Find a. Find c. A B C a b c we know angle A, we can find angle B (180 – (A +90)) ing A and b to find a Tan A = a/b lve for a Using A and b to find c cos A = b/c Solve for c OR use the Pythagorean Theorem

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Page 1: Solving triangles given two values

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

Page 2: Solving triangles given two values

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)

Page 3: Solving triangles given two values

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

Page 4: Solving triangles given two values

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.