In the following, state if the statement is true (T) or false (F):
Every right triangle is scalene.
Every right triangle is scalene.
Question types
Properties of Triangles question types
179 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
179
Questions
6
Question groups
5
Question types
01
1 Mark Question
43 Q→022 Mark Question
38 Q→033 Mark Question
39 Q→045 Mark Question
6 Q→05MCQ
34 Q→064 Mark Question
19 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.
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Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle has _____ angles.
A triangle has _____ angles.
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle whose one angle is a right angle is known as _________.
A triangle whose one angle is a right angle is known as _________.
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle has _____ sides.
A triangle has _____ sides.
In Figure, the length (in cm) of each side has been indicated along the side. State for each triangle angle whether it is scalene, isosceles or equilateral:
The hypotenuse of a triangle is 2.5cm. If one of the sides is 1.5cm. find the length of the other side.
Verity that the following number represent Pythagorean triplet:
$15,36,39$
View full solution →$15,36,39$
Is it possible to have a triangle, in which.
Two of the angles are obtuse?
Two of the angles are obtuse?
Explain the following term:
Equilateral triangle.
Equilateral triangle.
If the sides of a triangle are 3cm, 4cm and 6cm long, determine whether the triangle is right-angled triangle.
The angles of a triangle are in the ratio 3 : 4 : 5. Find the smallest angle.
One angle of a triangle is greater than the sum of the other two. What can you say about the measure of this angle? What type of a triangle is this?
Is it possible to have a triangle, in which.
Each angle is less than 60°?
Each angle is less than 60°?
Compute the value of x in the following figure.
If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle.
In Figure, ABC is a right triangle right angled at A. D lies on BA produced and DE perpendicular to BC intersecting AC at F. If $\angle \text{AFE}=130^\circ,$ find.
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- $\angle \text{BDE}$
- $\angle \text{BCA}$
- $\angle \text{ABC}$
In $\triangle \text{ABC}, \angle \text{A}=50^\circ$ and BC is produced to a point D. The bisectors of $\angle \text{ABC}$ and $\angle \text{ACD}$ meet at E. Find $\angle \text{E}$
View full solution →D is a point on the side BC of $ \triangle \text{ABC}.$ A line PDQ through D, meets side AC in P and AB produced at Q. If $\angle \text{A}=80^\circ, \angle \text{ABC}=60^\circ$ and $\angle \text{PDC} = 15^\circ,$ find.
$\angle \text{AQD}$
$\angle \text{APD}$
View full solution →$\angle \text{AQD}$
$\angle \text{APD}$
In $\triangle \text{ABC}, \angle \text{A}=50^\circ, \angle \text{B}=70^\circ$ and bisector of $\angle \text{C}$ meets AB in D. Find the angles of the triangles ADC and BDC.
View full solution →In $\triangle \text{ABC},$ if $3\angle \text{A}=4\angle \text{B}=6\angle \text{C},$ calculate the angles.
View full solution →Which of the following is the set of measures of the sides of a triangle?
- A$8\ cm, 4\ cm, 20\ cm$
- ✓$9\ cm, 17\ cm, 25\ cm$
- C$11\ cm, 16\ cm, 28\ cm$
- DNone of these.
Answer: B.
View full solution →Which of the following is/ are not Pythagorean triplet $(s)?$
- A$3,4,5$
- B$8,15,17$
- C$7,24,25$
- ✓$13,26,29$
Answer: D.
View full solution →In a $\triangle \text{ABC},$ if $2\angle \text{A}=3\angle \text{B}=6\angle \text{C},$ then th s measure of the smallest angle is:
- A$90^\circ$
- B$60^\circ$
- C$40^\circ$
- ✓$30^\circ$
Answer: D.
View full solution →If the exterior angles of a triangle are $(2x + 10)^\circ , (3x - 5)^\circ $ and $(2x + 40)^\circ ,$ then $x =$
- A$25$
- B$35$
- ✓$45$
- D$55$
Answer: C.
View full solution →In Fig. the value of $x$ is:
- A$20$
- ✓$30$
- C$40$
- D$25$
Answer: B.
View full solution →In $\triangle \text{ABC}, \ \angle \text{B} =60^\circ, \angle \text{C}=40^\circ,\text{AL}\bot \text{BC}$ and AD bisects $\angle \text{A}$ such that L and D lie on side BC. Find $\angle \text{LAD}$
View full solution →In Figure, $\triangle \text{ABC}$ is right angled at A, Q and R are points on line BC and P is a point such that QP perpendicular to AC and RP perpendicular to AB. Find $\angle \text{P}$
View full solution →Find x, y, z (whichever is required) from the figure given below:
AC, AD and AE are joined. Find.
$\angle \text{FAB}+\angle \text{ABC}+\angle \text{BCD}+\angle \text{CDE} +\angle \text{DEF}+\angle \text{EFA}$
View full solution →$\angle \text{FAB}+\angle \text{ABC}+\angle \text{BCD}+\angle \text{CDE} +\angle \text{DEF}+\angle \text{EFA}$
Find x, y, z (whichever is required) from the figure given below:
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