Answer:
The three sides of isosceles triangle are DE = DF = 11 unit , and EF = 13 unit
Explanation:
Given as :
DEF is a isosceles Triangle , with vertex D
The three sides is as
DE = x + 7
DF = 3x - 1
EF = 2x + 5
∵ DEF is an isosceles triangle then two of its sides must be equal
So , Let DE = DF
Or, x + 7 = 3x - 1
Or, 7 + 1 = 3x - x
Or, 8 = 2x
∴ x = 4
So, The measure three sides of isosceles Triangle are :
DE = x + 7 = 4 + 7 = 11 unit
DF = 3x - 1 = 3×(4) - 1 = 11 unit
EF = 2x + 5 = 2×(4) + 5 = 13 unit
Hence The three sides of isosceles triangle are DE = DF = 11 unit , and EF = 13 unit Answer