Question

find the length of the unknown sides f round all answers to 2 decimal places. 1 3cm c 2cm model with squares to verify this is a right tri 2

Explanation:

Step1: Identify the formula

This is a right - triangle, so we use the Pythagorean theorem, which states that for a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\), or \(c = \sqrt{a^{2}+b^{2}}\). Here, \(a = 3\space cm\) and \(b=2\space cm\).

Step2: Substitute the values

Substitute \(a = 3\) and \(b = 2\) into the formula: \(c=\sqrt{3^{2}+2^{2}}=\sqrt{9 + 4}=\sqrt{13}\)

Step3: Calculate the value and round

\(\sqrt{13}\approx3.61\) (rounded to two decimal places)

Answer:

The length of the unknown side \(c\) is approximately \(3.61\space cm\)