Answer:
Step-by-step explanation:
Given isosceles triangle ABC with AB≅AC, altitude AP, and AB=(2x+3), AC=(3y-1), BP=(y+1), and PC=(x+2), you want the values of x and y.
Isosceles triangle
Corresponding parts of ∆ABP and ∆ACP are congruent, so we have ...
2x +3 = 3y -1
x +2 = y +1
Solution
Subtracting twice the second equation from the first gives ...
(2x +3) -2(x +2) = (3y -1) -2(y +1)
-1 = y -3 . . . . simplify
2 = y . . . . . . add 3
Substituting into the second equation, we have ...
x +2 = 2 +1
x = 1 . . . . . . . .subtract 2
The values of x and y are 1 and 2, respectively.
