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Answer:
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
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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.
