Find the value of x in the diagram below.

image link is https://latex.artofproblemsolving.com/0/1/4/01485b87236fbb29b79962ba52ec8d3be0273d2d.png

Guest Aug 22, 2021

#1**0 **

For all 30° 60° 90° right triangles if x = the shortest side's length the hypotenuse would be 2x

So the hypotenuse of the first triangle would be \(2 \times 1 = 2\)

We could see that the second triangle is also 30° 60° 90°

2 is the length of the shortest side in the second triangle so \(x = 2 \times 2\)

\(x = 4\)

Capban Aug 22, 2021