Given the indicated parts of triangle ABC with 𝛾 = 90°, approximate the remaining parts. (Round your answers to the nearest whole number.) a = 34, b = 61

Question

alpha≈ 

beta≈ 

c≈ 

Answer 1

Use Pythagorean Theorem to find missing sides and use trigonometry ratio to find the missing angles. (we will be using sin inverse key to find missing angle)

a²+b² = c²

34² +61² = c²

1156 + 3721 = c²

4877 = c²

√4877 = √c²

c = 69.83552105

c≈70

To find the angle use SOH CAH TOA

tan <A = opp/adj

Tan <A = 34/61

<A = tan^-1 (34/61)

< A = 29.1342922

<A = 29°

Tan <B = 61/34

<B = tan ^-1(61/34)

< B= 60.8657078

<B = 61°

alpha (A) = 29°

Beta(B) = 61°

Hyp (c) = 70