Question

I am sorry where did you get a from
b=2, c=ã 29

Answer 1

I think I got it is the answer a=5

Answer 2

You solve for a using a^2 + b^2 = c^2 because it is the unknown value. I'm not exactly sure if that was what you were asking..

Answer 3

You're very close. However, you solved the equation like this:

a^2 + b^2 = c
5^2 + 2^2 = c
25 + 4 = c
29 = c

I think you forgot to mess with c^2:

a^2 + b^2 = c^2
a^2 + 2^2 = 29^2
a^2 + 4 = 841 (once you subtract 4 from 841, you must take the square root of both sides)

a^2 = 837
a = sqrt of 837

You will get a decimal, so round the answer off to the place value your assignment says. Does this method make sense? I hope I explained it okay.

Answer 4

The question is unclear.
Is c the longest side, or is it adjacent to the right angle?
As it is, there are two answers.

Case 1:
If c is the longest side, then we have
a² + 2² = (√29)²
a² = 29 - 4 =25
a=5

Case 2:
If c is one side adjacent to the right angle, we have
2²+(√29)² = a²
4+29 = a²
a=√33