Question

Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized

Answer 1

Option B.

Explanation:

The given triangle is a right angle triangle.

In a right angle triangle,

`\tan \theta=(Perpendicular)/(Base)`

In the given triangle,

`\tan (45^(\circ))=(v)/(7)`

`1=(v)/(7)`

`7=v`

Using Pythagoras theorem, we get

`hypotenuse^2=Perpendicular^2+Base^2`

`u^2=v^2+7^2`

`u^2=7^2+7^2`

`u^2=2(7^2)`

Taking square root on both sides, we get

`u=√(2(7^2))`

`u=7√(2)`

Therefore, the correct option is B.