Find the are of ABC with the side lengths a=8 and b=12, and included angle C=84 degrees. Round your answer to the nearest tenth

47.7 square units

Step-by-step explanation:

It is important to know that,

The area of any triangle with two given sides and an inclusive angle = 1/2(absinθ)

In the question above, we are given the following values:

Where : a = 8, b = 12, θ = C = 84°

Area of the Triangle ABC = 1/2 ×( 8 × 12 × sin 84)

Area of Triangle ABC = 47.737050978 square units

Approximately to the nearest tenth = 47.7 square units.

Therefore, the Area of triangle ABC to the nearest tenth = 47.7 square units.

C.

Step-by-step explanation:

Given

Required

Cordinate of G

Given that the line segment EG is divided into ratios, the formula to make use of is as follows;

Where m = 1; n = 2

x1 and y1 are the coordinate of E; x1 = 0 and x2 = 4

x2 and y2 are the coordinate of G

x and y are the coordinate of F; x = 1 and y = 3

Solving for x2

Multiply both sides by 3

Solving for y2

Multiply both sides by 3

Subtract 8 from both sides

Hence,