Question

use the pythagorean theorem to find y. leave your answer as a simplified radical or as a decimal rounded to the hundredths place.
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show your work here
hint: to add the square root symbol (√□), type
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y =

Explanation:

Step1: Write the Pythagorean theorem formula

$$a^{2}+b^{2}=c^{2}$$
Here, $a = 12$, $c = 17$, and $b=y$.

Step2: Substitute the values into the formula

$$12^{2}+y^{2}=17^{2}$$
$$144 + y^{2}=289$$

Step3: Solve for $y^{2}$

$$y^{2}=289 - 144$$
$$y^{2}=145$$

Step4: Find $y$

$$y=\sqrt{145}\approx12.04$$

Answer:

$y = 12.04$