Question

5For the following right triangle, find the side length x. Round your answer to the nearest hundredth.11Х14

Answer 1

Given the information on the picture, we can use the pythagorean theorem to find the missing side. If 'x' represents the length of the missing side, then, we have the following:

`x=\sqrt[]{(14)^2-(11)^2}=\sqrt[]{196-121}=\sqrt[]{75}=\sqrt[]{5^2\cdot3}=5\cdot\sqrt[]{3}`

therefore, the side length x is 5*sqrt(3)=8.66