Question

Segment KJ shown below is the hypotenuse of isosceles right triangle JLK. On a coordinate plane, triangle J L K has points (2, 4), (5, 1), (2, negative 2). What is the length of one of the congruent legs of JLK? 3 StartRoot 18 EndRoot 6 StartRoot 72 EndRoot

Answer 1

`√(18)`

Explanation:

The line that holds (2,4) and (2,-2) is what has the hypotenuse

We can subtract the y values since the x values are the same to find the distance

4-(-2)

4+2

6

6 is the length of the hypotenuse so we can fill this into the pythagorean theorem

We can turn both a and b into x since this sides will be the same

`6^2=x^2+x^2`

`36=2x^2`

Divide both sides by 2

`18=x^2`

Square root both sides

`√(18) =x`

Hope this helps please let me know if you have any further questions