Find the missing side lengths.

Can someone help me?

9514 1404 393

  m = n = 5√2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Sin = Opposite/Hypotenuse

  sin(45°) = m/10

  m = 10·sin(45°) = 10·(√2)/2 = 5√2

The triangle is isosceles, so m = n.

  n = m = 5√2

The side ratios of an isosceles right triangle are 1 : 1 : √2. That is, the legs are 10/√2 = 5√2 in this triangle. It can be useful to remember these ratios for this "special" triangle.

it's

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225