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find the length of b shown in the right triangle below. 2 90° b 5 √14 √…

Question

find the length of b shown in the right triangle below.
2
90°
b
5
√14 √14
√5 √5
√21 √21
√7 √7

Explanation:

Step1: Apply Pythagorean theorem

$b^{2}+2^{2}=5^{2}$

Step2: Solve for $b$

$b^{2}=25 - 4=21$, so $b = \sqrt{21}$

Answer:

$\sqrt{21}$