Question

Find the missing side

Answer 1

Answer:

$x=15.56$

Step-by-step explanation:

We can use the law of sines here. However, we will first need to solve for the missing angle.

The interior angles of a triangle add up to 180.

Therefore,

$35+90+x=180$

where $x$ is the missing angle.

$35+90+x=180$

$x+125=180$

$x=55$

So the missing angle is 55 degrees.

Now we can use the law of sines to set up a proportion.

$\frac{19}{sin(90)}=\frac{x}{sin(55)}$

Now simplify the equation.

$x=15.56$

Rounded to the nearest hundredth.

Answer 2

Answer:

x ≈ 19.6

Step-by-step explanation:

Since the triangle is right use the cosine ratio to solve for x

cos35° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{19}$

Multiply both sides by 19

19 × cos35° = x, hence

x ≈ 19.6 ( to 1 dec. place )