What is the length of the long leg in the right triangle shown below ?

The answer to your question is: length = 10.4 units

Step-by-step explanation:

Data

It's a right triangle with angles 30°- 60°- 90°

I'll solve this exercise with the function sine and cosine

a)    sin 60 = long leg / hypotenuse

      long leg = hypotenuse x sin 60

      long leg = 12 x 0.87

      lon leg = 10.4 units

b) cos 30 = long leg / hypotenuse

   long leg = hypotenuse x cos 30

   long leg = 12 x 0.87

   long leg = 10.4 units

b

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: