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Published on: 13/05/2022
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Questions + Answers key
Take MCQ Maths Test1.
Complete the following table :
| Types of Triangle /Its Angles | Acute angled triangle | Right angled triangle | Obtuse angled triangle |
| Any two angles | Always acute angles | i. | Always acute angles |
| Third angle | ii. | Right angle | iii. |
2.
Two sides of the triangle are given in the table. Find the third side of the triangle.
| Sl. No. | Side – 1 | Side - 2 | The length of the third side(any three measures) |
| i. | 7 cm | 4 cm | |
| ii. | 8 cm | 8 cm | |
| iii. | 7.5 cm | 3.5 cm | |
| iv. | 10 cm | 14 cm |
3.
Draw a line segment PQ = 12 cm. Mark two points M, N at a distance of 5 cm above the line segment PQ. Through M and N draw a line parallel to PQ.
4.
Construct a line perpendicular to the given line at a point on the line.
5.
Can a triangle be formed with the following sides? If yes, name the type of triangle.
(i) 8 cm, 6 cm, 4 cm
(ii) 10 cm, 8 cm, 5 cm
(iii) 6.2 cm, 1.3 cm, 3.5 cm
(iv) 6 cm, 6 cm, 4 cm
(v) 3.5 cm, 3.5 cm, 3.5 cm
(vi) 9 cm, 4 cm, 5 cm
1.
| Types of Triangle /Its Angles | Acute angled triangle | Right angled triangle | Obtuse angled triangle |
| Any two angles | Always acute angles | i. Always acute angles | Always acute angles |
| Third angle | ii. acute angle | Right angle | iii. Obtuse angle |
2.
| Sl. No. | Side – 1 | Side - 2 | The length of the third side(any three measures) |
| i. | 7 cm | 4 cm | 4 or 5 or 7 between 3 and 11 |
| ii. | 8 cm | 8 cm | 3 or 6 or 9 between 0 and 16 |
| iii. | 7.5 cm | 3.5 cm | 5 or 7 or 10 between 4 and 11 |
| iv. | 10 cm | 14 cm | 6 or 8 or 11 between 4 and 24 |
3.
| Step 1: Using a scale, draw a line segment PQ = 12 cm. Mark two points A and B on the line segment. | |
| Step 2: Using the set square as shown, mark points M and N such that AM = BN = 5 cm. | |
| Step 3: Using the scale, join M and N. MN is parallel to PQ. That is, MN ║ PQ. |
4.
| Step 1: Draw a line AB and take a point P anywhere on the line. | |
| Step 2: Place the set square on the line in such a way that the vertex which forms right angle coincides with P and one arm of the right angle coincides with the line AB. | |
| Step 3: Draw a line PQ through P along the other arm of the right angle of the set square. | |
| Step 4: The line PQ is perpendicular to the line AB at P. That is, PQ \(\bot \) AB and \(\angle\)APQ= \(\angle\)BPQ=90°. |
5.
(i) 8 cm, 6 cm, 4 cm
The sum of two smaller sides
= 6 cm + 4 cm = 10 cm > 8 cm, the third side.
It is greater than the third side
So, yes a triangle can be formed.
Type: Scalene triangle.
(ii) 10 cm, 8 cm, 5 cm.
The sum of two smaller sides
= 8 cm + 5 cm = 13 cm > 10 cm, the third side.
It is greater than the third side.
Therefore, yes a triangle can be formed.
Type: Scalene triangle.
(iii) 6.2 cm, 1.3 cm, 3.5 cm.
The sum oftwo smaller sides
= (1.3 + 3.5) cm = 4.8 cm < 6.2 cm It is
lesser than the third side.
Therefore, no a triangle cannot be formed.
(iv) 6 cm, 6 cm, 4 cm.
The sum of two smaller sides
= 6 cm + 4 crn = 10 cm > 6 cm, the third side.
It is greater than the third side.
Therefore, yes a triangle can be formed
Type: Isoceles triangle.
(v) 3.5 cm, 3.5 cm, 3.5 cm
The sum of two smaller sides = (3.5 + 3.5) cm = 7 cm > 3.5 cm
Therefore, it s greater than the third side.
Yes a triangle can be formed.
Type: Equilateral triangle
(vi) 9 cm, 4 cm, 5 cm
The sum of two smaller sides = 4 cm + 5 cm = 9 cm = 9 cm
Therefore, it s equal to the third side.
No, a triangle cannot be formed.
6th Standard Syllabus & Materials
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Tamilnadu 6th Standard Social Science T3 - குடிமையியல் - உள்ளாட்சி அமைப்பு - ஊரகமும் நகர்ப்புறமும் Important Questions And Answers Study Material - QB365 Set A
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Tamilnadu 6th Standard Social Science T3 - குடிமையியல் - மக்களாட்சி Important Questions And Answers Study Material - QB365 Set B
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