Question

1. calculate the value of c in the triangle below. c cm 48 cm 14 cm

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 14\) and \(b = 48\), and hypotenuse \(c\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\).
So, \(c^{2}=14^{2}+48^{2}\).

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

\(14^{2}=14\times14 = 196\), \(48^{2}=48\times48=2304\).
Then \(c^{2}=196 + 2304\).

Step3: Sum the values

\(c^{2}=196+2304=2500\).

Step4: Find \(c\)

Take the square root of \(c^{2}\), \(c=\sqrt{2500}\).
Since \(\sqrt{2500}=50\) (because \(50\times50 = 2500\)).

Answer:

\(50\)