The construction of a triangle ABC,given that | vedclass

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(D) In the construction of a triangle $ABC$ where the base $BC$ and base angle $\angle B$ are given,the construction is possible only if the differenc

Vedclass · Accepted Answer

$6.9$

Vedclass · Answer

(D) In the construction of a triangle $ABC$ where the base $BC$ and base angle $\angle B$ are given,the construction is possible only if the difference between the other two sides ($AB$ and $AC$) is strictly less than the base $BC$.Mathematically,for a triangle to be constructed,we must have $|AB - AC| Given $BC = 6 \, cm$,the condition for the triangle to be impossible is $|AB - AC| \geq 6 \, cm$.Among the given options,$6.9 \, cm$ is the only value that is greater than or equal to $6 \, cm$.Therefore,the construction is not possible when the difference is $6.9 \, cm$.

The construction of a triangle $ABC$,given that $BC = 6 \, cm, \angle B = 45^{\circ}$ is not possible when the difference of $AB$ and $AC$ is equal to: (in $cm$)

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