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![NCERT solutions for Mathematics [English] Class 7 chapter 6 - The Triangle and its Properties - Shaalaa.com](/images/mathematics-english-class-7_6:c3cebe068a194d94b26c11e5078e5928.jpg "NCERT solutions for Mathematics [English] Class 7 chapter 6 - The Triangle and its Properties")
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Solutions for Chapter 6: The Triangle and its Properties
Below listed, you can find solutions for Chapter 6 of CBSE NCERT for Mathematics [English] Class 7.
NCERT solutions for Mathematics [English] Class 7 6 The Triangle and its Properties EXERCISE 6.1 [Page 91]
In ΔPQR, D is the mid-point of `bar(QR)`.
`bar(PM)` is ______.
PD is ______.
Is QM = MR?
Draw rough sketch for the following:
In ΔABC, BE is a median.
Draw rough sketch for the following:
In ΔPQR, PQ and PR are altitudes of the triangle.
Draw rough sketch for the following:
In ΔXYZ, YL is an altitude in the exterior of the triangle.
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
NCERT solutions for Mathematics [English] Class 7 6 The Triangle and its Properties EXERCISE 6.2 [Pages 93 - 94]
Find the value of the unknown exterior angle x in the following diagram:
Find the value of the unknown exterior angle x in the following diagram:
Find the value of the unknown exterior angle x in the following diagram:
Find the value of the unknown exterior angle x in the following diagram:
Find the value of the unknown exterior angle x in the following diagram:
Find the value of the unknown exterior angle x in the following diagram:
Find the value of the unknown interior angle x in the following figure.
Find the value of the unknown interior angle x in the following figure.
Find the value of the unknown interior angle x in the following figure.
Find the value of the unknown interior angle x in the following figure.
Find the value of the unknown interior angle x in the following figure.
Find the value of the unknown interior angle x in the following figure.
NCERT solutions for Mathematics [English] Class 7 6 The Triangle and its Properties EXERCISE 6.3 [Pages 96 - 97]
Find the value of the unknown x in the following diagram:
Find the value of the unknown x in the following diagram:
Find the value of the unknown x in the given diagram:
Find the value of the unknown x in the following diagram:
Find the value of the unknown x in the following diagram:
Find the value of the unknown x in the following diagram:
Find the value of the unknown x and y in the following diagram:
Find the value of the unknown x and y in the following diagram:
Find the value of the unknowns x and y in the following diagram:
Find the value of the unknown x and y in the following diagram:
Find the value of the unknown x and y in the following diagram:
Find the value of the unknown x and y in the following diagram:
NCERT solutions for Mathematics [English] Class 7 6 The Triangle and its Properties EXERCISE 6.4 [Pages 101 - 102]
Is it possible to have a triangle with the following sides?
2 cm, 3 cm, 5 cm
Is it possible to have a triangle with the following sides?
3 cm, 6 cm, 7 cm
Is it possible to have a triangle with the following sides?
6 cm, 3 cm, 2 cm
Take any point O in the interior of a triangle PQR. Is
- OP + OQ > PQ?
- OQ + OR > QR?
- OR + OP > RP?
AM is a median of a triangle ABC.
Is AB + BC + CA > 2 AM?
(Consider the sides of triangles ΔABM and ΔAMC.)
ABCD is quadrilateral.
Is AB + BC + CD + DA > AC + BD?
ABCD is quadrilateral.
Is AB + BC + CD + DA < 2 (AC + BD)?
The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?
NCERT solutions for Mathematics [English] Class 7 6 The Triangle and its Properties EXERCISE 6.5 [Page 105]
PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.
ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.
A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.
Which of the following can be the sides of a right triangle?
2.5 cm, 6.5 cm, 6 cm
In the case of right-angled triangles, identify the right angles.
Which of the following can be the sides of a right triangle?
2 cm, 2 cm, 5 cm
In the case of right-angled triangles, identify the right angles.
Which of the following can be the sides of a right triangle?
1.5 cm, 2 cm, 2.5 cm
In the case of right-angled triangles, identify the right angles.
A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.
Angles Q and R of a ΔPQR are 25° and 65°.
Write which of the following is true:
PQ2 + QR2 = RP2
PQ2 + RP2 = QR2
RP2 + QR2 = PQ2
Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm.
The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Solutions for 6: The Triangle and its Properties
NCERT solutions for Mathematics [English] Class 7 chapter 6 - The Triangle and its Properties
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 7 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 7 CBSE 6 (The Triangle and its Properties) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics [English] Class 7 chapter 6 The Triangle and its Properties are Concept of Triangles, Median of a Triangle, Classification of Triangles (On the Basis of Sides, and of Angles), Altitudes of a Triangle, Exterior Angle of a Triangle and Its Property, Angle Sum Property of a Triangle, Sum of the Lengths of Two Sides of a Triangle, Right-angled Triangles and Pythagoras Property, Classification of Triangles based on Sides- Equilateral, Isosceles, Scalene, Some Special Types of Triangles - Equilateral and Isosceles Triangles, Classification of Triangles based on Sides- Equilateral, Isosceles, Scalene, Classification of Triangles based on Angles: Acute-Angled, Right-Angled, Obtuse-Angled, Classification of Triangles based on Angles: Acute-Angled, Right-Angled, Obtuse-Angled, Concept of Triangles, Median of a Triangle, Classification of Triangles (On the Basis of Sides, and of Angles), Altitudes of a Triangle, Exterior Angle of a Triangle and Its Property, Angle Sum Property of a Triangle, Sum of the Lengths of Two Sides of a Triangle, Right-angled Triangles and Pythagoras Property, Classification of Triangles based on Sides- Equilateral, Isosceles, Scalene, Some Special Types of Triangles - Equilateral and Isosceles Triangles, Classification of Triangles based on Sides- Equilateral, Isosceles, Scalene, Classification of Triangles based on Angles: Acute-Angled, Right-Angled, Obtuse-Angled, Classification of Triangles based on Angles: Acute-Angled, Right-Angled, Obtuse-Angled.
Using NCERT Mathematics [English] Class 7 solutions The Triangle and its Properties exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 7 students prefer NCERT Textbook Solutions to score more in exams.
Get the free view of Chapter 6, The Triangle and its Properties Mathematics [English] Class 7 additional questions for Mathematics Mathematics [English] Class 7 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.
