Question

geometry 1 pythagorean theorem
what is the length of the hypotenuse? if necessary, round to
the nearest tenth.
c = kilometers
submit

Explanation:

Step1: Apply Pythagorean theorem

$$c^2 = a^2 + b^2$$
Here \(a = 40\), \(b=30\). So \(c^2=40^2 + 30^2\).

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

\(40^2=1600\), \(30^2 = 900\). Then \(c^2=1600 + 900=2500\).

Step3: Solve for \(c\)

Since \(c^2 = 2500\), then \(c=\sqrt{2500}\).

Answer:

\(50\) kilometers