Question

What is the length of the line?

Answer 1

Answer: square root of 29

√29

Step-by-step explanation:

Iamagine the last line as the hypotenuse of a right triangle.

Square the sides and add.

5^2=25. 2^2=4. 25+4=29. To get the length, take square root. √29.

Answer 2

sqrt(29) = c

Explanation:

We can find the length using the Pythagorean theorem

Draw a line down and to the left to make a right triangle

One leg is the x direction , it is 2 units

One leg is the height and it is 5 units

a^2 + b^2 = c^2

2^2 +5^2 = c^2

4 +25 = c^2

29 = c^2

Take the square root of each side

sqrt(29) = qrt(c^2)

sqrt(29) = c