Name the smallest angle in each of these triangles: In $\triangle XYZ, XY = 6.2\ cm, XY = 6.8\ cm$ and $YZ = 5\ cm$
View full solution →Question types
Inequalities in Triangles question types
33 questions across 5 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.
33
Questions
5
Question groups
5
Question types
01
[1 Mark Question Answer]
3 Q→02[2 Mark Question Answer]
5 Q→03[3 marks sum]
11 Q→04[4 marks sum]
8 Q→05[5 marks sum]
6 Q→Sample Questions
Inequalities in Triangles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Name the smallest angle in each of these triangles:In $ \triangle PQR, PQ = 8.3\ cm, QR = 5.4\ cm $ and $PR = 7.2\ cm$
View full solution →Name the smallest angle in each of these triangles : In $\triangle ABC, AB = 6.2\ cm, BC = 5.6\ cm $ and$ AC = 4.2\ cm$
View full solution →In the given figure, $T$ is a point on the side $\text{PR}$ of an equilateral $\triangle PQR$. Show that $\text{RT} < \text{QT}.$
View full solution →In $\triangle PQR, \text{PS} \perp \text{QR} ;$ prove that$: \text{PQ} > \text{QS}$ and $\text{PR} > \text{PS}$
View full solution → $\text{ABCD}$ is a trapezium. Prove that:
$\text{CD} +\text{DA} +\text{AB} > \text{BC}.$
View full solution →$\text{CD} +\text{DA} +\text{AB} > \text{BC}.$
$\text{ABCD}$ is a trapezium. Prove that$:$
$\text{CD} +\text{DA} +\text{AB} +\text{BC} > 2\text{AC}.$
View full solution →$\text{CD} +\text{DA} +\text{AB} +\text{BC} > 2\text{AC}.$
In $\triangle PQR, \text{PR} > \text{PQ}$ and $T$ is a point on $\text{PR}$ such that $\text{PT} = \text{PQ}.$ Prove that $\text{QR} > \text{TR}.$
View full solution →$\triangle ABC$ is isosceles with $AB = AC.$ If $BC$ is extended to $D,$ then prove that $AD > AB.$
View full solution →In $\triangle ABC,$ the exterior $\angle PBC >$ exterior $\angle QCB.$ Prove that $AB > AC.$
View full solution →In a triangle $ABC, BC = AC$ and $\angle A = 35^\circ .$ Which is the smallest side of the triangle?
View full solution →In $\triangle ABC, AE$ is the bisector of $\angle BAC. D$ is a point on $AC$ such that $AB = AD.$ Prove that $BE = DE$ and $\angle ABD > \angle C.$
View full solution →Arrange the sides of the following triangles in an ascending orde$r:\triangle DEF, \angle D = 38^\circ , \angle E = 58^\circ .$
View full solution →$D$ is a point on the side of the $BC$ of $\triangle ABC$. Prove that the perimeter of $\triangle ABC$ is greater than twice of $AD$.
View full solution →Arrange the sides of the following triangles in an ascending order:$\triangle ABC, \angle A = 45^\circ , \angle B = 65^\circ .$
View full solution →In $\triangle PQR$ is a triangle and $S$ is any point in its interior. Prove that $SQ + SR < PQ + PR.$
View full solution →In $\triangle PQR, PS \perp QR$ ; prove that: $PQ + PR > QR$ and $PQ + QR >2PS.$
View full solution → In the given figure, $\angle QPR = 50^\circ $ and $\angle PQR = 60^\circ $. Show that: $SN < SR$
View full solution → Prove that the hypotenuse is the longest side in a right$-$angled triangle.
View full solution →Prove that the perimeter of a triangle is greater than the sum of its three medians.
In $\triangle ABC, D$ is a point in the interior of the triangle. Prove that $DB + DC < AB + AC.$
View full solution →Prove that in an isosceles triangle any of its equal sides is greater than the straight line joining the vertex to any point on the base of the triangle.
In $\triangle ABC, BC$ produced to $D,$ such that, $AC = CD; \angle BAD = 125^\circ$ and $\angle ACD = 105^\circ.$ Show that $BC > CD.$
View full solution →Generate a Inequalities in Triangles paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.