Question

Can you solve for X inside the correct code for question four?

Answer 1

CIAD

Explanation

The Pythagorean theorem states:

`c^2=a^2+b^2`

where a and b are the legs and c is the hypotenuse of a right triangle.

Applying this theorem to triangle 1:

`\begin{gathered} x^2=77^2+36^2 \\ x^2=5929+1296 \\ x^2=7225 \\ x=√(7225) \\ x=85 \end{gathered}`

Then, the first letter is C.

Applying the theorem to triangle 2:

`\begin{gathered} x^2=39^2+80^2 \\ x^2=1521+6400 \\ x^2=7921 \\ x=√(7921) \\ x=89 \end{gathered}`

Then, the second letter is I.

Applying the theorem to triangle 3:

`\begin{gathered} x^2=25^2+100^2 \\ x^2=625+10000 \\ x^2=10625 \\ x=√(10625) \\ x=103.08 \end{gathered}`

Then, the third letter is A.

Applying the theorem to triangle 4:

`\begin{gathered} x^2=17^2+52^2 \\ x^2=289+2704 \\ x^2=2993 \\ x=√(2993) \\ x=54.71 \end{gathered}`

Then, the fourth letter is D.