The perimeter of triangle RXA is 39, PX=49 and AP=9.Find RX and RA.
To find the lengths RX and RA, we can use the fact that the perimeter of a triangle is the sum of the lengths of its sides.
Let's denote the length RX as 'x' and the length RA as 'y'.
The perimeter of triangle RXA is given as 39, so we can write the equation:
RX + PX + AP = 39
Substituting the given values, we get:
x + 49 + 9 = 39
Combining like terms, we have:
x + 58 = 39
To isolate x, we subtract 58 from both sides of the equation:
x = 39 - 58
Simplifying gives:
x = -19
However, since length cannot be negative, it does not make sense in this context. Thus, there is no valid solution for RX.
As for RA, since we know the lengths PX (49) and AP (9), we can calculate it by subtracting these lengths from the perimeter:
RA = 39 - PX - AP
RA = 39 - 49 - 9
RA = 39 - 58
RA = -19
Again, since a negative length is not possible, there is no valid solution for RA either.
Therefore, there are no values for RX and RA that satisfy the given conditions.