Question

Need help find h. Type you Answer in simplest radical form

Answer 1

Answer:

$h = 8\sqrt{2}$

Step-by-step explanation:

$h^{2} + 4^{2} = a^{2} \\h^{2} + 32^{2} = b^{2} \\a^{2} + b^{2} = 36^{2}$

Add the top 2 equations

$\\h^{2} + 4^{2} + h^{2} + 32^{2} = a^{2} + b^{2} = 36^{2}$

$2h^{2} + 16 + 1024 = 1296\\2h^{2} + 1040 = 1296\\2h^{2} = 256\\h^{2} =128\\h = \sqrt{128} = 8\sqrt{2}$