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

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9