Question

Work out the length of x

Answer 1

x = 12.12 cm

There are two ways to solve this triangle. We will be using the simpler, Pythagorean Theorem to solve for the missing side length -
`a^(2)+b^(2)=c^(2)`

'a' and 'b' are variables for regular side length legs, while 'c' is a variable for the hypotenuse.

`7^(2)+x^(2) =14^(2)`

`x^(2) =196-49`

`x^(2) =147`

x ≈ 12.12

Answer 2

x =
`√(147)`

Explanation:

Using Pythagoras' identity in the right triangle

x² + 7² = 14²

x² + 49 = 196 ( subtract 49 from both sides )

x² = 147 ( take the square root of both sides )

x =
`√(147)` ≈ 12.1 ( to 1 dec. place )