Question

t.3 pythagorean theorem: find the missing leg or hypotenuse i...
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = millimeters

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 2\) and \(b = 9\).
So, \(2^{2}+9^{2}=c^{2}\).

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

\(2^{2}=4\) and \(9^{2}=81\).
Then \(4 + 81=c^{2}\), so \(c^{2}=85\).

Step3: Solve for \(c\)

\(c=\sqrt{85}\approx9.2\)

Answer:

\(9.2\)