Question

PLEASE HELP ME WITH THIS QUESTION

Answer 1

`\\ \rm\Rrightarrow (6√(2))/(6)=(x)/(14)`

`\\ \rm\Rrightarrow 6x=84√(2)`

`\\ \rm\Rrightarrow x=14√(2)`

• Done

Answer 2

x = 2√58

Explanation:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle)

Find the height of the triangle by using the base and hypotenuse of the smaller interior triangle and Pythagoras' Theorem:

a² + b² = c²

⇒ a² + 6² = (6√2)²

⇒ a² = (6√2)² - 6²

⇒ a² = 36

⇒ a = 6

Now we have the base and height of the larger interior triangle, we can calculate x:

a² + b² = c²

⇒ 6² + 14² = x²

⇒ x² = 232

⇒ x = √232

⇒ x = 2√58