A surveyor needs to find the length from point A to point C across a lake as shown in the figure below. The measurements of which of the following angles and side lengths are sufficient for the surveyor to determine the length of 𝐴𝐶‾AC  using only the law of sines?(Note : The law of sines says 𝑎𝑠𝑖𝑛𝐴=𝑏𝑠𝑖𝑛𝐵=𝑐𝑠𝑖𝑛𝐶.sinAa​ = sinBb​ = sinCc​ .)

If I know the measures of all three angles and none of the sides of an oblique triangle, neither the Law of Sines nor the Law of Cosines can be used to find the length of a side.Group of answer choicesTrueFalse

In order to apply the law of cosines to find the length of the side of a triangle, it is enough to know which of the following?A.The lengths of two of the triangle's sides and the measure of the angle between themB.The measure of an angle and the length of the side opposite that angleC.The area of the triangle

Solve the triangle shown in the following figure using the Law of Sines. (Enter all angles in degrees. Round your answers to one decimal place.)6.13.170°A triangle is given.The angle at vertex A is 70°.The side opposite vertex A has length 6.1.The side opposite vertex B has length 3.1.c = ∠B = °∠C = °

Triangle ABC (not shown here) has a right angle at C. The length of side BC is 5.24 cm, and the length of side AC is 8.17 cm. Sketch the triangle and find ∠ABC, giving your answer correct to the nearest degree.

Which of the following can be used to find the measure of an angle of a triangle when the lengths of the sides are known?*a. Law of Sinesb. Law of Cosinesc. Law of Inertiad. Law of Entropy