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 →PB + PC BC
Question types
Properties of Triangles question types
71 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
71
Questions
5
Question groups
5
Question types
01
1 Mark Question
22 Q→022 Mark Question
11 Q→033 Mark Question
22 Q→045 Mark Question
2 Q→054 Mark Question
14 Q→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?
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.
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?
Can a right triangle be a scalene triangle?
Fill in the blanks:
A right triangle cannot have an angle.
A right triangle cannot have an angle.
Is it possible to draw a triangle, the lengths of whose sides are given below?
2cm, 3cm, 4cm
2cm, 3cm, 4cm
Is it possible to draw a triangle, the lengths of whose sides are given below?
1cm, 1cm, 1cm
1cm, 1cm, 1cm
Is it possible to draw a triangle, the lengths of whose sides are given below?3.4cm, 2.1cm, 5.3cm
Is it possible to draw a triangle, the lengths of whose sides are given below?7cm, 8cm, 15cm
In a $\triangle\text{ABC}$, if $\angle\text{A} = 72^\circ$ and $\angle\text{B} = 63^\circ$, find $\angle\text{C}$.
View full solution →The acute angles of a right triangle are in the ratio 2 : 1. Find the each of these angles.
In the figure given alongside, find:
View full solution →- $\angle\text{ACD}$
- $\angle\text{AED}$
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 →$a=10 cm, b=24 cm, c=26 cm$
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 16cm and 30cm.
In the figure given alongside, x : y = 2 : 3 and $\angle\text{ACD}=130^\circ$. Find the values of x, y and z.
View full solution →In the given figure. DE || BC. If $\angle\text{C}=65^\circ$ and $\angle\text{B}=55^\circ$, find
View full solution →- $\angle\text{ADE}$
- $\angle\text{AED}$
- $\angle\text{C}$
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?
Two poles, 18m and 13m high, stand upright in a playground. If their feet are 12m apart, find the distance between their tops.
An exterior angle of a triangle measures 110° and its interior opposite angles are in the ratio 2 : 3. Find the angles of the triangle.
A man goes 3km due north and then 4km due east. How far is he away from his initial position?
A 15m long ladder is placed against a wall to reach a window 12m high. Find the distance of the foot of the ladder from the wall.
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