Question

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

Answer 1

5

Explanation:

Apply Pythagorean theorem

`13 {}^(2) = 12 {}^(2) + x {}^(2) \\ 169 = 144 + x {}^(2) \\ x {}^(2) = 169 - 144 \\ x {}^(2) = 25 \\ x = √(25) \\ x = 5`

Answer 2

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 √(25) = √(b^2) \\ \\ \boxed{5 = b}`

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