tthis is a right triangle...

a=3
b=4
c=5
true or fauls?

1 answer

True. In a right triangle, the sides satisfy the Pythagorean theorem, which states that \( a^2 + b^2 = c^2 \) for the two shorter sides (legs) \( a \) and \( b \), and the longest side (hypotenuse) \( c \).

For your triangle:

  • \( a = 3 \)
  • \( b = 4 \)
  • \( c = 5 \)

Calculating: \[ 3^2 + 4^2 = 9 + 16 = 25 \] and \[ 5^2 = 25 \]

Since both sides are equal, it confirms that this is a right triangle. Therefore, the statement is true.