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

for the following right triangle,  find the side length x. round your answer to the-example-1
User Jonahe
by
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1 Answer

7 votes

Answer:

The answer is 13.86

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 = √(192) \\ x = 8 √(3) \\ x = 13.8564...

We have the final answer as

13.86 to the nearest hundredth

Hope this helps you

User Kwex
by
7.9k points

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