Respuesta :

Answer:

x = [tex]\sqrt{147}[/tex]

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 = [tex]\sqrt{147}[/tex] ≈ 12.1 ( to 1 dec. place )

NAWty12345

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 - [tex]a^{2}+b^{2}=c^{2}[/tex]

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

[tex]7^{2}+x^{2} =14^{2}[/tex]

[tex]x^{2} =196-49[/tex]

[tex]x^{2} =147[/tex]

x ≈ 12.12

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