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?

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

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.

In triangle ABC, angle C is a right angle. Point D lies on side AB, and point E lies on side BC. The line DE is parallel to side AC. If the length of side AB is 39 units, the length of DE is 8 units, and the length of side AC is greater than the length of side BC, and the area of triangle ABC is 270 square units, what is the length of side BE, in units?

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

A surveyor is trying to measure the distance BC across a river. From point B, directly across from point C, he walks along the bank to point A from which he sites C at an angle of 45o. If the distance AB is 120 yards, how far is it across the river?