A triangle has 3 sides. A car is traveling to from point P to Q which is 3 meters and point Q to point R is 4 meters How many meters will it take to the car to travel back to point P
To find the distance the car needs to travel to return to point P from point R, we first need to determine the distance between points P and R.
The triangle formed by points P, Q, and R has sides of 3 meters (PQ) and 4 meters (QR). We can use the Pythagorean theorem to find the length of side PR if we assume that the triangle is a right triangle. The formula is:
\[ c^2 = a^2 + b^2 \]
where \( c \) is the hypotenuse (PR) and \( a \) and \( b \) are the other two sides (PQ and QR).
Plugging in the values:
\[ PR^2 = PQ^2 + QR^2 \]
\[ PR^2 = 3^2 + 4^2 \]
\[ PR^2 = 9 + 16 \]
\[ PR^2 = 25 \]
Taking the square root of both sides gives:
\[ PR = \sqrt{25} = 5 \text{ meters} \]
So, the distance from point R back to point P is 5 meters. Therefore, the car will take 5 meters to travel back to point P.