Question

question 12
calculate the missing value.
41 in
9 in
a
c
b
b =
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Explanation:

Step1: Apply Pythagorean theorem

For right triangle $ABC$, $a^2 + b^2 = c^2$, where $c=41$, one leg $=9$, so:
$$b^2 = 41^2 - 9^2$$

Step2: Calculate squared values

Compute the squares:
$$b^2 = 1681 - 81$$

Step3: Simplify and solve for b

Subtract, then take square root:
$$b^2 = 1600$$
$$b = \sqrt{1600}$$

Answer:

40 in