11. ∆ АВС, В = 9o° — then BC / АС = 1 / 2 cm (2 ; 13; 1; 3)
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11. ∆ АВС, В = 9o° — then BC / АС = 1 / 2 cm (2 ; 13; 1; 3)
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Step-by-step explanation:
Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {(a, b) : |a – b| is even}, is an equivalence relation. Show that all the elements of {1, 3, 5} are related to each other and all the elements of {2, 4} are related to each other. But no element of {1, 3, 5} is related to any element of {2, 4}.
Verified answer
DE∣∣AB, then ΔCDE∼ΔABC
By property of similar triangles:
AC
CD
=
BC
CE
⟹
4x+22
x+3
=
4x+4
x
Cross-multiplying:
(x+3)(4x+4)=x(4x+22)
⟹4x
2
+16x+12=4x
2
+22x
12=6x⟹
x=2