Question

practice with the pythagorean theorem sp 26
what is the length of the hypotenuse? round your answer to the nearest tenth and type it in the box.
1 km
2 km

Explanation:

Step1: Recall Pythagorean Theorem

For a right triangle with legs $a$, $b$, hypotenuse $c$, $c=\sqrt{a^2+b^2}$

Step2: Substitute given values

Let $a=2$, $b=1$. Calculate $c=\sqrt{2^2+1^2}=\sqrt{4+1}=\sqrt{5}$

Step3: Compute and round to nearest tenth

$\sqrt{5}\approx2.236$, rounded to 2.2

Answer:

2.2 km