Answer:
about 40 cm.
Explanation:
I know the length of the third side is 40cm because I used the Pythagorean theorem.
a^2+b^2=c^2 The "a" and "b" values are the lengths of the legs of the triangle, while "c" is the length of the hypotenuse. We know the third side of this triangle is not the hypotenuse.
* The longest side of a right triangle is the hypotenuse, so we know the length of the hypotenuse is 46cm.
Therefore, we plug our values into the Pythagorean theorem.
23^2+b^2=46^2
529+b^2=2116
Next, we subtract 529 on both sides.
b^2=1587
Next, find the square root of 1587, so we can find the true value of b.
b=39.8371685741
Rounded to the nearest centimeter is 40.
In conclusion, the length of the third side is 40cm.