Question

is the distance between the points 4, k and 1, 0 is 5 find the value of k​

Answer 1

Answer:

By distance formula, we have:

$(4 - 1)^{2} + (k - 0)^{2} = {5}^{2} \\ {3}^{2} + {k}^{2} = 25 \\ 9 + {k}^{2} = 25 \\ \therefore \: {k}^{2} = 25 - 9 = 16 \\ \therefore k = \sqrt{16} \\ \therefore \: k = 4$