Finding Triangle Area with Trigonometric Ratios

What is the sum of the radii of the smallest and largest circles to find side AC?

• 6 cm

• 7 cm

• 9 cm

• 5 cm

What is the total length of side BC in the triangle?

• 7 cm

• 6 cm

• 5 cm

• 8 cm

What formula is used to calculate angle ACB?

• Pythagorean Theorem

• Law of Cosines

• Area Formula

• Law of Sines

What is the simplified value of cosine C in the first problem?

• 60/85

• 60/84

• 25/60

• 84/85

How is the angle opposite to 100 meters calculated in the pyramid problem?

• Using Law of Sines

• Using Law of Cosines

• Using Area Formula

• Using Pythagorean Theorem

What is the length of the face of the pyramid XY?

• 124 meters

• 100 meters

• 85 meters

• 150 meters

What is the third angle in the pyramid problem when the other two angles are 135 and 25 degrees?

• 30 degrees

• 20 degrees

• 25 degrees

• 15 degrees

How do you calculate the area of a triangle using trigonometric ratios?

• ab sin(C)

• 1/2 ab sin(C)

• Base * height

• 1/2 base * height

What is the area of the triangle with sides 14 and 9 and angle 79 degrees?

• 75.2 square units

• 61.8 square units

• 55.3 square units

• 82.5 square units

What is the correct expression for finding the altitude in a triangle using angle A?

• C * sin(A)

• A * sin(C)

• B * sin(A)

• A * sin(B)