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

For any convex quadrilateral $ABCD$,prove that $AB + BC + CD + DA < 2(AC + BD)$.

If $\Delta ABC \cong \Delta YZX,$ then in $\Delta XYZ,$ which side is equal to side $AB$?

In $\Delta ABC$,$AB = AC$ and $AD$ is an altitude to the base $BC$. Prove that $D$ is the midpoint of $BC$.

Prove that in a triangle,other than an equilateral triangle,the angle opposite to the longest side is greater than $\frac{2}{3}$ of a right angle.

In rectangle $ABCD$,$E$ is the midpoint of $BC$. Prove that $AE = DE$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module