Question

Find the value of z​

Answer 1

Answer:

$z = 12 \sqrt{5}$

Step-by-step explanation:

By geometric mean property:

$y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12$

By Pythagoras Theorem:

$z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5}$