Question

solve for c.
(image of a right triangle with horizontal leg 5, vertical leg 3, hypotenuse c)
c = ?
pythagorean theorem: ( a^2 + b^2 = c^2 )
round your answer to the nearest hundredth

Explanation:

Step1: Identify a, b, c

In a right triangle, \(a = 5\), \(b = 3\), \(c\) is hypotenuse. Use Pythagorean theorem \(a^2 + b^2 = c^2\).
\(5^2 + 3^2 = c^2\)

Step2: Calculate \(a^2 + b^2\)

\(25 + 9 = c^2\)
\(34 = c^2\)

Step3: Solve for c

Take square root: \(c = \sqrt{34}\)
\(c \approx 5.83\) (rounded to nearest hundredth)

Answer:

\(5.83\)