calculate the side lengths a and b to two decimal places.
a. a = 16.23 and b = 17.99
b. a = 16.23 and b = 18.83
c. a = 17.99 and b = 16.23
d. a = 4.81 and b = 5.33
e. a = 5.33 and b = 4.81
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A. a = 16.23 and b = 17.99

Step-by-step explanation:

The addition of the three angles of the triangle is equal to 180°. So,

C + 64° + 85° = 180°

C =  180° - 64° - 85°

C = 31°

The law of sine states:

sin(A)/a = sin(B)/b = sin(C)/c

where c is the side opposite to angle C

Taking angles A and C, and sides a and c, we get

sin(A)/a = sin(C)/c

sin(64°)/a = sin(31°)/9.3

sin(64°)*9.3/sin(31°) = a

a = 16.23

Taking angles B and C, and sides b and c, we get

sin(B)/b = sin(C)/c

sin(85°)/b = sin(31°)/9.3

sin(85°)*9.3/sin(31°) = b

b = 17.99

a) t'(-3, 6) and v'(0, 3)  

step-by-step explanation:

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step-by-step explanation: