A right triangle with base labeled Vector J = 6, the height labeled Vector K = unknown and the hypotenuse labeled Vector L = 10 meters. What is the magnitude of vector K

K = 8

Explanation:

The magnitude of k can be found using Pythagoras theorem.

Given hypotenuse L = 10

J = 6

K = ?

L^2 = J^2 + k^2

Therefore

10^2 = 6^2 + k^2

10 x 10 = 6 x 6 c k^2

100 = 36 + k^2

Subtract 36 from both sides

100 - 36 = 36 - 36 + k^2

64 = k^2

K^2 = 64

K = squared root of 64

K = 8