The positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
What is the Pythagorean theorem?
Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
It is given that the formula of the Pythagorean theorem for a right-angle triangle is, a² + b² = c².
The value of c is calculated as:-
a² + b² = c²
Reverse the equation to calculate a.
c² = a² + b²
Taking b² to the left side then the equation will become:-
a² = c² - b²
Taking square root on both sides of the equation.
[tex]\sqrt{a^2}=\sqrt{c^2-b^2[/tex]
[tex]a = \sqrt{c^2-b^2}[/tex]
Therefore, the positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
#SPJ5
