The Pythagorean Theorem
The Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
- a and b are the two legs in a right triangle
- c is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
- *keep in mind that this theorem applies only to right triangles
Solving the Question
We're given:
- Legs = 9 units and 12 units
- Hypotenuse = c
Plug these measurements into the Pythagorean theorem:
[tex]a^2+b^2=c^2\\9^2+12^2=c^2[/tex]
⇒ Combine like terms:
[tex]81+144=c^2\\c^2=225[/tex]
Answer
[tex]c^2=225[/tex]
