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Sample Paper 2021 Basic (goprep)
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Q4 of 180 Page 5

In the figure, wh

In ΔABC and ΔA’B’C’




Also, In ΔABC


∠A + ∠B + ∠C = 180°


⇒ ∠A + 30° + 20° = 180°


⇒ ∠A = 130°


So here,


∠A = ∠A’


⇒ ΔABC ∼ ΔA’B’C’ [By SAS Similarity]




⇒ t = 8 units


OR


By Pythagoras theorem,


(Hypotenuse)2 = (Base)2 + (Perpendicular)2


AB2 = AC2 + BC2


[Given: AC = BC, as it is an isosceles triangle]



AB2 = 2AC2


Hence, Proved.


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Questions · 180
Sample Paper 2021 Basic (goprep)
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