The construction of a triangle ABC,given that | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 $cm$)

Similar Questions

Construct an angle of $112.5^{\circ}$ and write the steps of construction.

Construct $\triangle ABC$ in which $BC = 5\,cm$,$\angle B = 60^{\circ}$ and $AB + AC = 9\,cm$. Write the steps of construction.

Construct an angle of $135^{\circ}$ using a compass and ruler and write the steps of construction.

Draw a line segment $PQ$ of length $7.4\,cm$. Then,construct the perpendicular bisector of the line segment $PQ$. Write the steps of construction.

Construct a triangle $ABC$,in which $BC = 8 \, cm$,$\angle B = 75^{\circ}$ and $AB + AC = 15 \, cm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module