Answer and Step-by-step explanation:
To find the third side, we can use the Pythagorean Theorem.
The theorem states that if a triangle is a right triangle, and we already have two sides, we are able to find the third side.
The Pythagorean Theorem Formula is the following:
[tex]A^2+B^2=C^2[/tex]
A is any of the bases
B is the other base (you can make this the height)
C is the hypotenuse (the longest side)
We are given B and C, so lets plug them into our formula and solve for A.
[tex]A^2 + (4\sqrt{3} )^2=8^2[/tex]
Subtract [tex](4\sqrt{3} )^2[/tex] from both sides of the equation.
[tex]A^2=8^2 - (4\sqrt{3} )^2[/tex]
Now take the square root of both sides of the equation.
[tex]A=\sqrt{8^2 - (4\sqrt{3} )^2}[/tex]
Now plug this into your calculator and solve.
We get the answer to be:
4
#teamtrees #PAW (Plant And Water)
I hope this helps!
