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4. determine the length of the unknown side. 6 4.5 enter your answer in…

Question

  1. determine the length of the unknown side.

6
4.5
enter your answer in the box.

Explanation:

Step1: Apply Pythagorean theorem

Let unknown side = $c$, legs $a=6$, $b=4.5$. Formula: $c=\sqrt{a^2 + b^2}$

Step2: Calculate squared leg values

$6^2 = 36$, $4.5^2 = 20.25$

Step3: Sum squared values

$36 + 20.25 = 56.25$

Step4: Take square root

$\sqrt{56.25} = 7.5$

Answer:

7.5