Question

Use the Pythagorean Theorem: x=

Answer 1

Answer:

$\sqrt{253}$

Step-by-step explanation:

The question asks to use the Pythagorean Theorem...

which is $a^{2} + b^2 = c^2$

1. Note that c is always the hypotnuse (the longest side of the triangle)

• c = 17

2. Note that a and b represent both legs of the triangle

• a = 6

3. Find b using pythagorean theorem (x = b)

$6^2 + b^2 = 17^2\\36 + b^2 = 289\\b^2 = 253\\b=\sqrt{253}$

Since b is the missing side x, then $x = \sqrt{253}$