I have been working on this problem for a while and for some reason I don't come up with the answer.

a^2+b^2=c^2

I came up with 2square root 5 please tell me if this is correct.

In a right triangle, Find the length of the side not given b=1, c=square root 10

thank you.

First, you know the formula is a^2 + b^2 = c^2. Next, substitute the values: a^2 + 1^2 = root 10 ^2

Do the operations. a^2 + 1 = 10
Now= a^2 = 10-1
a^2 = 9
a = 3

To find the length of the missing side in a right triangle, you can use the Pythagorean theorem, which states that in 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).

In this case, you have the values of b and c given, and you need to find the value of a. The equation you can use is:

a^2 + b^2 = c^2

You mentioned that b = 1 and c = √10. Plugging these values into the equation, we get:

a^2 + 1^2 = (√10)^2

Simplifying the equation further:

a^2 + 1 = 10

Subtracting 1 from both sides of the equation:

a^2 = 10 - 1 = 9

Taking the square root of both sides:

a = √9 = 3

Hence, the length of the missing side in the right triangle is 3.

Regarding your first question about the values of a, b, and c in the equation a^2 + b^2 = c^2, you mentioned that you obtained 2√5 as the answer. It would be helpful to know the specific values you assigned to "a" and "b" in order to determine if that answer is correct.