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4. find the missing side length. round to the nearest tenth.

Question

  1. find the missing side length. round to the nearest tenth.

Explanation:

Step1: Apply Pythagorean theorem

Let the missing side (hypotenuse) be $c$. The theorem is $c^2 = a^2 + b^2$, where $a=3$, $b=10$.
$c^2 = 3^2 + 10^2$

Step2: Calculate squared values

$c^2 = 9 + 100 = 109$

Step3: Solve for $c$

$c = \sqrt{109} \approx 10.4403$

Step4: Round to nearest tenth

Round $10.4403$ to one decimal place.

Answer:

10.4