Answer:
the square root of 20.
Step-by-step explanation:
When trying to find the lengths of the sides of a right triangle, we use the Pythagorean Theorem. The variable "c" is the hypotenuse, or diagonal of the triangle. So, using this information, we plug in the variable.
a=4
b=?
c=6
4^2+b=6^2
simplify the terms.
4^2=16
6^2=36
rewrite the equation with the newly found information.
16+b=36
solve.
36-16=20
20 is now a part of the equation. remember, the equation deals with the squared ratios of the sides. so, to get the true length of side b, we have to take the square root of the sides. the square root of 20 is your answer.
eventually it can be broken down further into 2 root 5, but that isnt the answer you need .
