Question

Work out the length of x

Answer 1

Answer:

x = $\sqrt{147}$

Step-by-step 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 = $\sqrt{147}$ ≈ 12.1 ( to 1 dec. place )

Answer 2

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