If JK is tangent to circle L, find x

Question

asked Dec 10, 2022 221k views

2 Answers

Dror Hilman · Answer 1 · 2022-12-12T20:28:42+0000

Answer:

if JK is tangent that means it creates 90° with X that is the ray of the circonference.

to find X first you have to find L and to do so you use the inverse of pythagorean theorem cause you have the hypotenouse :

sqr( 25^2-1^2) = 24.97

now divide by 2 and you have 12.49

Ramilol · Answer 2 · 2022-12-17T05:09:24+0000

Since JK is tangent to circle L, the value of x is equal to 24 units.

In Mathematics and Geometry, Pythagorean theorem is an Euclidean postulate that can be modeled or represented by the following mathematical equation:

c^2=a^2+b^2

Where:

In order to determine the length of JM or the value of x, we would have to apply Pythagorean's theorem as follows;

$JM^2 = KM^2 - JK^2\\\\JM^2 = 25^2 - 7^2\\\\JM^2 = 625 - 49\\\\JM=√(576)$

JM = x = 24 units.