Find all solutions for a triangle with C=17deg, a=10, c=11. Round to the nearest tenth

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Angle A = 15.42°, angle B = 147.58°, and side b = 20.17 units.

Step-by-step explanation: Please refer to the attached diagram for details.

A triangle with angles ABC has been sketched from the information given, and we have the missing dimensions as, angles A and B and side b. Since we have an angle with a corresponding side, and another side has been given, we shall apply the Sine Rule which states that;

a/SinA = b/SinB = c/SinC

We can start with the known values as follows

a/SinA = c/SinC

10/SinA = 11/Sin 17

By cross multiplication we now have

(10 x Sin 17)/11 = SinA

(10 x 0.2924)/11 = SinA

2.924/11 = SinA

0.2658 = SinA

By use of calculator or a table of values,

A = 15.42°

Having calculated angle A as 15.42 and having known angle C as 17, angle B can be derived as,

A + B + C = 180° {Sum of angles in a triangle equals 180}

15.42 + B + 17 = 180

32.42 + B = 180

Subtract 32.42 from both sides of the equation

B = 147.58°

And now to calculate the missing side c, we still apply the Sine Rule

b/SinB = c/SinC

b = (c x SinB)/SinC

b = (11 x 0.5361)/0.2924

b = 5.8971/0.2924

b = 20.168

Approximately, b = 20.17

Therefore, the missing angles and side is calculated as

Angle A = 15.42°, angle B = 147.58° and length of side b = 20.17 units

30

step-by-step explanation:

times by times

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: