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b 10 45° a b = ? /√

Question

b 10 45° a b = ? /√

Explanation:

Step1: Identify triangle type

It's a 45 - 45 - 90 triangle. In a 45 - 45 - 90 triangle, the ratio of sides is $a:b:hypotenuse = 1:1:\sqrt{2}$.

Step2: Apply ratio to find b

If hypotenuse is 10, and $hypotenuse=\sqrt{2}b$. Then $b=\frac{10}{\sqrt{2}}$.

Answer:

$\frac{10}{\sqrt{2}}$