The construction of a triangle ABC,given that | vedclass

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Question

(A) In the construction of a triangle $ABC$ where the base $BC$,the base angle $\angle C$,and the difference between the other two sides $(AB - AC)$ a

Vedclass · Accepted Answer

$2.8$

Vedclass · Answer

(A) In the construction of a triangle $ABC$ where the base $BC$,the base angle $\angle C$,and the difference between the other two sides $(AB - AC)$ are given,the construction is possible only if the difference between the two sides is strictly less than the length of the base $BC$.Given:$BC = 3 \, cm$Difference $= |AB - AC|$Condition for construction:$|AB - AC| $|AB - AC| Comparing this with the given options:$A) 2.8 $B) 3 $C) 3.1 $D) 3.2 Therefore,the only value that satisfies the condition is $2.8 \, cm$.

The construction of a triangle $ABC$,given that $BC = 3 \, cm$ and $\angle C = 60^{\circ}$,is possible when the difference of $AB$ and $AC$ is equal to: (in $cm$)

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