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 nearest hundredth class=](https://us-static.z-dn.net/files/dc4/410cea62143f2443e330d1bce149edb2.png)
Answer:
10.72 (in whatever unit your using)
Step-by-step explanation:
You have the hypotenuse and a side given to you. Here, the Pythagorean Theorem can be used.
[tex]a^{2} +b^{2} =c^{2}[/tex]
Manipulate the formula for answering side X
[tex]c^{2} -a^{2} =b^{2}[/tex]
Fill in the unknowns
[tex]14^{2} -9^{2} =x^{2}[/tex]
[tex]196-81=x^{2}[/tex]
[tex]115=x^{2}[/tex]
[tex]\sqrt{115}=\sqrt{x^{2}}[/tex]
[tex]10.7238053...=x[/tex]
Round
[tex]10.72=x[/tex]