LuceNt
LuceNt LuceNt
  • 23-10-2020
  • Mathematics
contestada

Find the missing length.

Pythagorean Theorem:

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

Find the missing lengthPythagorean Theoremtex a2 b2 c2 tex class=

Respuesta :

Stephen46
Stephen46 Stephen46
  • 23-10-2020

Answer:

[tex] \huge \boxed{c = 4 \sqrt{2} }[/tex]

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

c² = a² + b²

where

c is the hypotenuse

So from the question we have

[tex] {c}^{2} = {4}^{2} + {4}^{2} \\ c = \sqrt{16 + 16} \\ c = \sqrt{32} \: \: \: \: \: \: \: \: \: \\ \\ \\ c = 4 \sqrt{2} \: \: \: \: \: \: \: \: [/tex]

Hope this helps you

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