Q. 1534.2( 5 Votes )

Observe Fig. 6.54 and state the three pairs of equal parts in triangles ABC and DBC.



(i) Is ∆ABC ∆DCB? Why?

(ii) Is AB = DC? Why?

(iii) Is AC = DB? Why?

Answer :

Formula Used/Theory:-


when 2 angles and side between both the angles are equal in both the triangles then triangles are congruent by ASA congruence criterion


In ∆ABC and ∆DCB


B = C (Both 70° )


ACB = DCB (Both 30° )


BC = BC (common)


∆ABC ∆DCB


Hence; both triangles are congruent by ASA congruence


If ∆ABC ∆DCB then;


If triangles are congruent then all 3 sides of triangle are equal to all 3 sides of other triangle


BC = BC


AB = DC


AC = DB


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