Question

Type the correct answer in the box. Round your answer to two decimal places.

Answer 1

Find the square root of 13, which is 3.6

Answer 2

3.61 units

Explanation:

AB = 3 units

AC = 2 units

Pythagoras theorem in euclidean geometry states that the sum of the squares of the base and height is equal to the square of the side which is opposite to the right angle (hypotenuse).

So,

`BC^2=AC^2+AB^2\\\Rightarrow BC=√(AC^2+AB^2)\\\Rightarrow BC=√(2^2+3^2)\\\Rightarrow BC=√(13)`

`√(13)=3.6055\\\Rightarrow √(13)=3.61`

BC = 3.61 units