Question

mrs. caldwell is teaching a 5th grade class. she is standing 12 meters in front of heather. savannah is sitting to heathers right. if savannah and mrs. caldwell are 13 meters apart, how far apart are heather and savannah?
□ meters
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Explanation:

Step1: Identify right triangle sides

Let $a=12$ (Caldwell-Heather), $c=13$ (Caldwell-Savannah), $b$ = Heather-Savannah.

Step2: Apply Pythagorean theorem

$$b^2 = c^2 - a^2$$

Step3: Calculate unknown side

$$b^2 = 13^2 - 12^2 = 169 - 144 = 25$$
$$b = \sqrt{25} = 5$$

Answer:

5 meters