Question

find the length of side x to the nearest tenth.

Explanation:

Step1: Identify triangle properties

This is an isosceles right triangle: legs = 6, hypotenuse = $x$.

Step2: Apply Pythagorean theorem

$$x = \sqrt{6^2 + 6^2}$$

Step3: Calculate the value

$$x = \sqrt{36 + 36} = \sqrt{72} \approx 8.5$$

Answer:

8.5