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Find the missing side lengths.

Can someone help me?

Find the missing side lengths. Can someone help me?-example-1
User Savanto
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1 Answer

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Answer:

m = n = 5√2

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.

User Tnrvrd
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