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What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​

What Is The Value Of X In The Right Triangle Below Show Your Work And Round Your Answer To The Nearest Hundredth class=

Sagot :

The length of the hypothenuse or the value of x is equal to 19.53

This is a right angle triangle and since we have a missing side, we should list our data first and find an option to solve this.

Data;

  • hypothenuse = x
  • adjacent = 11.2
  • opposite = 16

Pythagoras's Theorem

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2

Let's substitute the values and solve for the missing side.

[tex]x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53[/tex]

The length of the hypothenuse or the value of x is equal to 19.53.

Learn more Pythagoras theorem here;

https://brainly.com/question/3317136

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