If $P$ is a point in the interior of $\triangle\text{ABC}$ then fill in the blanks with $>$ or $<$ or $=. PB + PC BC$ 
View full solution →Question types
Properties of Triangles question types
80 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
80
Questions
4
Question groups
5
Question types
Sample Questions
Properties of Triangles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Answer the following in 'Yes' or 'No'. Can an isosceles triangle be a right triangle?
Fill in the blanks: Of all the line segments that can be drawn to a given line from a given point outside it, the is the shortest.
Answer the following in 'Yes' or 'No'. Can a right triangle be a scalene triangle?
Fill in the blanks: A right triangle cannot have an angle.
Is it possible to draw a triangle, the lengths of whose sides are given below? $2\ cm, 3\ cm, 4\ cm$
View full solution →Is it possible to draw a triangle, the lengths of whose sides are given below? $1\ cm, 1\ cm, 1\ cm$
View full solution →Is it possible to draw a triangle, the lengths of whose sides are given below?$3.4\ cm, 2.1\ cm, 5.3\ cm$
View full solution →Is it possible to draw a triangle, the lengths of whose sides are given below$?7\ cm, 8\ cm, 15\ cm$
View full solution →In a $\triangle\text{ABC}$, if $\angle\text{A} = 72^\circ$ and $\angle\text{B} = 63^\circ$, find $\angle\text{C}$.
View full solution →A $5m$ long ladder whan set against the wall of a house reaches a height of $4.8m$. How far is the foot of the ladder from the wall?
View full solution →Two poles, $18m$ and $13m$ high, stand upright in a playground. If their feet are $12m$ apart, find the distance between their tops.
View full solution →An exterior angle of a triangle measures $110^\circ $ and its interior opposite angles are in the ratio $2 : 3$. Find the angles of the triangle.
View full solution →A man goes $3\ km$ due north and then 4km due east. How far is he away from his initial position?
View full solution →A $15\ m$ long ladder is placed against a wall to reach a window $12\ m$ high. Find the distance of the foot of the ladder from the wall.
View full solution →The acute angles of a right triangle are in the ratio $2 : 1.$ Find the each of these angles.
View full solution →In the figure given alongside, find:
$i. \angle\text{ACD}$
$ii. \angle\text{AED}$
View full solution →$i. \angle\text{ACD}$
$ii. \angle\text{AED}$
The lengths of the sides of triangles are given below. Which of them are right-angled? $a = 10\ cm, b = 24\ cm, c = 26\ cm$
View full solution →In the figure given alongside, find the measure of $\angle\text{ACD}.$
View full solution →Find the perimeter of a rhombus, the lengths of whose diagonals are $16\ cm$ and $30\ cm.$
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