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Lerok [7]
3 years ago
5

for the following right triangle,  find the side length x. round your answer to the nearest hundredth ​

Mathematics
1 answer:
Lesechka [4]3 years ago
6 0

Answer:

<h2>The answer is 13.86</h2>

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

a² = b² + c²

where

a is the hypotenuse

We have

{16}^{2}  =  {x}^{2}  +  {8}^{2}  \\  {x}^{2}  =  {16}^{2}  -  {8}^{2}  \\  {x}^{2}  = 256 - 64 \\  {x}^{2}  = 192 \\ x =  \sqrt{192}  \\ x = 8 \sqrt{3}  \\ x = 13.8564...

We have the final answer as

<h3>13.86 to the nearest hundredth</h3>

Hope this helps you

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