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

$$c^{2}=a^{2}+b^{2}$$
Here \(a = 24\), \(b = 32\). So \(c^{2}=24^{2}+32^{2}\)

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

\(24^{2}=24\times24 = 576\), \(32^{2}=32\times32=1024\)
Then \(c^{2}=576 + 1024\)

Step3: Sum the values

\(c^{2}=1600\)

Step4: Find \(c\)

\(c=\sqrt{1600}\)
\(c = 40\)

Answer:

\(40\)