Question

What is the length of the line?
A. 9
B. 8
C. squared 45
D. squared 27

Answer 1

you find the hypotenuse as if it was a triangle.
one side is 3 units long, we’ll call it “a”.
the other side is 6 units long, “b”.
using a^2 +b^2=c^2
we can get 3^2+ 6^2 =c^2
9+36=c^2
45=c^2
square root of 45=c
the answer is C!

Answer 2

C)
`\sf √(45)`

Explanation:

Pythagorean theorem:

AB = 6 units

BC = 3 units

AC is hypotenuse and AB is the base and BC is the altitude.

Hypotenuse² = base² + altitude²

AC² = AB² + BC²

`\sf = 6^2 + 3^2\\\\ = 36 + 9\\\\ = 45`

`\sf AC= √(45)`