Triangle Problem

Find x

Find the length of side b in a triangle with sides a = 5, c = 8, and angle B = 60° using the Law of Sines.

• 6√3

• 4√3

• 3√5

• 5√2

Find the length of side c in a triangle with sides a = 6, b = 9, and angle C = 60° using the Law of Sines.

• The length of side c is approximately 7.8 units.

• The length of side c is approximately 10.5 units.

• The length of side c is approximately 8.3 units.

• The length of side c is approximately 5.2 units.

How far from the base of a house do you need to place a 15ft ladder so that is exactly reaches the top of a 12 ft. wall?

• 81 feet

• 19.2 feet

• 369 feet

• 9 feet

• 29

• 23

• 17

• 13

A triangle has angles A = 30°, B = 45°, and side a = 8. Find the length of side b using the Law of Sines.

• 12.45

• 9.23

• 6.78

• 10.34

ONLY ANSWER PART C

In a right triangle, if one angle is 30° and the hypotenuse is 10 units, find the length of the side opposite to the 30° angle.

A triangle has sides of lengths 7, 24, and 25. Determine if this triangle is a right triangle.

• Yes, it is a right triangle.

• No, it is not a right triangle.

• It is an equilateral triangle.

• It is an isosceles triangle.

In a triangle, if two sides are 8 and 15, and the angle between them is 90°, find the length of the third side.