Question

Find the length of the missing side. Round answers to the nearest tenth if necessary. * S sva Your answer

Answer 1

Question:

Solution:

Notice that the angle between the sides of the square is 90 degrees:

Therefore, the angle of the vertex of the triangle measures 45 degrees:

thus, we obtain the following right triangle:

Now, apply the following trigonometric identity:

`\cos \text{ (45) = }\frac{s}{5\sqrt[]{2}}`

solving for s, we get:

`s\text{ = cos(45) . 5 }\sqrt[]{2}\text{ = 5}`

then, we can conclude that the correct answer is:

`s\text{ = 5}`