Question

25 POINTS!!!!

QUESTION 1:

What is the length of side AB of the triangle?

Square root of 6

3

Square root of 18

6

Answer 1

it will be square root of 6

Answer 2

Hey there, Lets solve this problem together.

You are given two lengths of a right angled triangle, so Pythagoras' theorem is the way to go.

In algebraic terms, a² + b² = c² where c is the hypotenuse while a and b are the legs of the triangle.

In a right angled triangle:
the square of the hypotenuse is equal to
the sum of the squares of the other two sides.c² (the diagonal squared) = a² (one length squared) + b² (the other length squared)

leg a and b are both 3


`3^2 + 3^2 = c^2`


`= 3 * 3 = 3^2`


`= 9 + 9 = c^2`


`9 + 9 =18`


`18 = c^2`

The opposite of ^2 is ^1/2 also known as the square root

c = sqrt(18)

Solved = c≈4.24