Question

using the right triangle
Find the value of x'
13
X
12

Answer 1

Answer:

5

Step-by-step explanation:

Apply Pythagorean theorem

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

Answer 2

Answer:

A. $\displaystyle 5$

Step-by-step explanation:

Use the Pythagorean Theorem:

$\displaystyle a^2 + b^2 = c^2 \\ \\ 12^2 + b^2 = 13^2 \hookrightarrow 144 + b^2 = 169 \hookrightarrow \sqrt{25} = \sqrt{b^2} \\ \\ \boxed{5 = b}$

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