Find the x value for point l such that jl and kl form a 3:1 ratio.
Asked by maham237 @ in Mathematics viewed by 350 People
Segment JK is shown. J is at (-3, 4). K is at (4,-2).
(−1.25, 2.5)
(−0.5, 1)
(2.25, −0.5)
(0.5, 2)
Answered by maham237 @
I graphed the points.
It forms an imaginary right triangle where JK serves as the hypotenuse. We simply use the Pythagorean theorem to solve for the measure of the segment.
long leg: -3 to 4 = 7 units
short leg: -2 to 4 = 6 units
c² = a² + b²
c² = 7² + 6²
c² = 49 + 36
c² = 85
c = √85
c = 9.22 or 9
9/4 = 2.25
2.25 * 3 = 6.75
Among the given choices, (2.25,-0.5) is the closest point of L to the segment JK
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