Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = \boxed{} kilometers

Explanation:

Step1: Identify right triangle sides

Legs: $a = 5.3$ km, $b = 5.3$ km
Hypotenuse: $c$ (unknown)

Step2: Apply Pythagorean theorem

$$c = \sqrt{a^2 + b^2} = \sqrt{(5.3)^2 + (5.3)^2}$$

Step3: Calculate squared terms

$$(5.3)^2 = 28.09$$
Sum: $28.09 + 28.09 = 56.18$

Step4: Compute square root

$$c = \sqrt{56.18} \approx 7.5$$

Answer:

7.5