Two sides of a triangle are of lengths 5, cm | vedclass

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

Question

(A) According to the triangle inequality theorem,the sum of any two sides of a triangle must be greater than the third side,and the difference between

Vedclass · Accepted Answer

$3.4$

Vedclass · Answer

(A) According to the triangle inequality theorem,the sum of any two sides of a triangle must be greater than the third side,and the difference between any two sides must be less than the third side.Let the third side be $x$.Then,$5 - 1.5 Checking the options:$A) 3.4$ is not in the range $(3.5, 6.5)$ because $3.4 $B) 3.8$ is in the range.$C) 4.1$ is in the range.$D) 3.6$ is in the range.Therefore,the length of the third side cannot be $3.4\, cm$.

Two sides of a triangle are of lengths $5\, cm$ and $1.5\, cm$. The length of the third side of the triangle cannot be (in $cm$):

Similar Questions

$\angle ACD$ is an exterior angle of $\Delta ABC$. If $AB = AC$ and $\angle B = 70^{\circ}$,then $\angle ACD = \dots$ (in $^{\circ}$)

$S$ is any point in the interior of $\triangle PQR$. Show that $SQ + SR < PQ + PR$.

If $\Delta ABC \cong \Delta RPQ$ and the perimeter of $\Delta ABC$ is $18 \, cm$,then the perimeter of $\Delta PQR$ is $cm$.

If in $\Delta XYZ$,$\angle Y > \angle X > \angle Z$,then find the smallest side of the triangle.

If $AB = QR$,$BC = PR$,and $CA = PQ$,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module