Question

1. calculate the value of c in the triangle below.

Explanation:

Step1: Use Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 11\), \(b=18\).
So, \(c^{2}=11^{2}+18^{2}\).

Step2: Calculate squares

\(11^{2}=121\), \(18^{2}=324\). Then \(c^{2}=121 + 324\).

Step3: Sum the values

\(121+324 = 445\). So \(c=\sqrt{445}\approx21.1\) (rounded to one decimal place).

Answer:

\(c\approx21.1\) cm