Question

Pythagorean theorem calc: find b, a=10, c=26

Answer 1

`\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=√(c^2 - a^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{26}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{b} \end{cases} \\\\\\ b=√( 26^2 - 10^2)\implies b=√( 676 - 100 ) \implies b=√( 576 )\implies b=24`

Answer 2

24 units

Explanation:

The Pythagorean theorem states that for a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Using this formula, we can solve for the length of the missing side:

c^2 = a^2 + b^2

26^2 = 10^2 + b^2

676 = 100 + b^2

b^2 = 576

b = sqrt(576)

b = 24

Therefore, the length of side b is 24 units.