Question

Solve the following triangle for all missing sides and angles.

Answer 1

Answer:

Part 1: 100

Part 2: 29.19 (Rounded)

Part 3: 20.96 (Rounded)

Step-by-step explanation:

Part 1: Triangle Sum Theorem (All angles of a triangle add up to 180 degrees)

45 + 35 + A = 180

80 + A = 180

Move the constant to the other side

80 + A = 180

-80          -80

A = 80°

Part 2: Law of sines

$\frac{a}{sin(100)} = \frac{17}{sin(35)}$

Cross multiplication

sin(35)a = 16.7417318

Divide both sides by sin(35)

a = 29.18831866

Part 3: Law of cosines

$b=29.19^{2}+17^{2}-2*29.19*17*cos(45)$ = 439.2809039

Square root the answer

$\sqrt{439.2809039}$ =20.95902917