Question

find the missing length of the figure. 12

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c=\sqrt{a^{2}+b^{2}}\). Here, \(a = 12\) mm and \(b = 35\) mm.

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(a^{2}=12^{2}=144\) and \(b^{2}=35^{2}=1225\).

Step3: Calculate \(a^{2}+b^{2}\)

\(a^{2}+b^{2}=144 + 1225=1369\).

Step4: Find the square - root

\(x=\sqrt{1369}=37\) mm.

Answer:

37