QUESTION IMAGE
Question
write your answer in simplest radical form. centimeters submit work it out not feeling ready yet? these are b
Step1: Identify the triangle type
This is a right - angled isosceles triangle (since two angles are \(45^{\circ}\), the legs are equal). Let the legs be \(a = 1\) cm and \(b = 1\) cm.
Step2: Apply Pythagorean theorem
The Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\). Substituting \(a = 1\) and \(b = 1\), we get \(s^{2}=1^{2}+1^{2}\).
So, \(s^{2}=1 + 1=2\).
Step3: Solve for \(s\)
Taking the square root of both sides, \(s=\sqrt{2}\)
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\(\sqrt{2}\)