In right triangle abc, c is the right angle. given measure of angle a = 40 degrees and a =6, which of the following are the lengths of the remaining two side, rounded to the nearest tenth?

By using trigonometric relations we will see that the other two sides are:

b = 7.2

c = 9.3

We have the triangle ABC, we know that:

a is the opposite cathetus to angle A, c would be the hypotenuse (because it is the opposite side to angle C) and b is the adjacent cathetus to angle A.

Using the trigonometric relations:

We can find the two missing sides:

Tan(40°) = 6/b

b = 6/Tan(40°) = 7.2

Sin(40°) = 6/c

c = 6/Sin(40°) = 9.3

These are the other two sides of the right triangle.

If you want to learn more about right triangles, you can read:

link

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

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