Question

calculate the missing value.

c
8 in
a
15 in
c
c =
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Explanation:

Step1: Apply Pythagorean theorem

For right triangle $ABC$, $c^2 = a^2 + b^2$, where $a=15$, $b=8$.
$$c^2 = 15^2 + 8^2$$

Step2: Calculate squared terms

Compute $15^2$ and $8^2$.
$$c^2 = 225 + 64$$

Step3: Sum the values

Add the two squared terms.
$$c^2 = 289$$

Step4: Take square root

Find the positive root of 289.
$$c = \sqrt{289}$$

Answer:

17 in