Answer:
x = 11, y = 8
Step-by-step explanation:
ΔABC and ΔFDE are congruent by the postulate SSS
Equate the congruent sides in the 2 triangles
BC = ED, that is
x + 3 = 14 ( subtract 3 from both sides )
x = 11
-------------------------------------
DF = AB, that is
x - y = 3 ← substitute x = 11
11 - y = 3 ( subtract 11 from both sides )
- y = 3 - 11 = - 8 ( multiply both sides by - 1 )
y = 8
Answer:
The value of x is 11 and the value of y is 8.
Step-by-step explanation:
It is given that ∆ABC and ∆FDE are congruent.
The corresponding parts of congruent triangle are congruent.
[tex]AB=FD[/tex] (CPCTC)
[tex]3=x-y[/tex] .... (1)
[tex]BC=DE[/tex] (CPCTC)
[tex]x+3=14[/tex]
Subtract 3 from both the sides.
[tex]x=14-3[/tex]
[tex]x=11[/tex]
The value of x is 11.
Put x=11 in equation (1).
[tex]3=11-y[/tex]
Add y on both the sides.
[tex]3+y=11[/tex]
Subtract 3 from both the sides.
[tex]y=11-3[/tex]
[tex]y=8[/tex]
The value of y is 8.
