A triangle is a three-sided polygon with three edges and three vertices, forming the simplest closed figure in geometry. Its area represents the space enclosed by its three sides. The formula for the area of a triangle is half the product of its base and height. Mathematically, it is given as (baseRead more
A triangle is a three-sided polygon with three edges and three vertices, forming the simplest closed figure in geometry. Its area represents the space enclosed by its three sides. The formula for the area of a triangle is half the product of its base and height. Mathematically, it is given as (base × height) ÷ 2. This method ensures accurate calculation of the triangular region, irrespective of the triangle’s type or orientation.
When a rectangle is divided by its diagonal, two identical triangles are formed. These triangles can be checked for congruence by overlapping them, and they align perfectly. As the diagonal divides the rectangle into two equal parts, the area of each triangle is exactly half of the rectangle's area.Read more
When a rectangle is divided by its diagonal, two identical triangles are formed. These triangles can be checked for congruence by overlapping them, and they align perfectly. As the diagonal divides the rectangle into two equal parts, the area of each triangle is exactly half of the rectangle’s area. This observation remains true for any rectangle or square, irrespective of its size.
From this exercise, we can infer that the diagonal of a rectangle always divides it into two equal triangles. Both triangles are congruent in shape and size, and their areas are equal to half the area of the rectangle. This principle applies universally to all rectangles and squares, regardless of tRead more
From this exercise, we can infer that the diagonal of a rectangle always divides it into two equal triangles. Both triangles are congruent in shape and size, and their areas are equal to half the area of the rectangle. This principle applies universally to all rectangles and squares, regardless of their dimensions, establishing a consistent relationship between a rectangle and its diagonally divided parts.
Twin primes are pairs of prime numbers that differ by 2. Between 1 and 100, the twin primes are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), and (71, 73). Each pair consists of two primes satisfying the condition of a difference of 2. These pairs highlight the fascinating patterRead more
Twin primes are pairs of prime numbers that differ by 2. Between 1 and 100, the twin primes are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), and (71, 73). Each pair consists of two primes satisfying the condition of a difference of 2. These pairs highlight the fascinating patterns of prime distribution within a specific range.
The statement is true because numbers ending in 4 are even. A prime number has only two divisors: 1 and itself. All even numbers are divisible by 2, making them composite, except for the number 2 itself. Since 2 is the only even prime number, any number with a units digit of 4 cannot be prime. For eRead more
The statement is true because numbers ending in 4 are even. A prime number has only two divisors: 1 and itself. All even numbers are divisible by 2, making them composite, except for the number 2 itself. Since 2 is the only even prime number, any number with a units digit of 4 cannot be prime. For example, numbers like 14, 24, and 34 all have divisors other than 1 and themselves.
What do you mean by Triangle? Define Area of a Triangle.
A triangle is a three-sided polygon with three edges and three vertices, forming the simplest closed figure in geometry. Its area represents the space enclosed by its three sides. The formula for the area of a triangle is half the product of its base and height. Mathematically, it is given as (baseRead more
A triangle is a three-sided polygon with three edges and three vertices, forming the simplest closed figure in geometry. Its area represents the space enclosed by its three sides. The formula for the area of a triangle is half the product of its base and height. Mathematically, it is given as (base × height) ÷ 2. This method ensures accurate calculation of the triangular region, irrespective of the triangle’s type or orientation.
For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/
Check whether the two triangles overlap each other exactly. Do they have the same area?
When a rectangle is divided by its diagonal, two identical triangles are formed. These triangles can be checked for congruence by overlapping them, and they align perfectly. As the diagonal divides the rectangle into two equal parts, the area of each triangle is exactly half of the rectangle's area.Read more
When a rectangle is divided by its diagonal, two identical triangles are formed. These triangles can be checked for congruence by overlapping them, and they align perfectly. As the diagonal divides the rectangle into two equal parts, the area of each triangle is exactly half of the rectangle’s area. This observation remains true for any rectangle or square, irrespective of its size.
For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/
Can you draw any inferences from this exercise?
From this exercise, we can infer that the diagonal of a rectangle always divides it into two equal triangles. Both triangles are congruent in shape and size, and their areas are equal to half the area of the rectangle. This principle applies universally to all rectangles and squares, regardless of tRead more
From this exercise, we can infer that the diagonal of a rectangle always divides it into two equal triangles. Both triangles are congruent in shape and size, and their areas are equal to half the area of the rectangle. This principle applies universally to all rectangles and squares, regardless of their dimensions, establishing a consistent relationship between a rectangle and its diagonally divided parts.
For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/
Find twin primes between 1 and 100.
Twin primes are pairs of prime numbers that differ by 2. Between 1 and 100, the twin primes are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), and (71, 73). Each pair consists of two primes satisfying the condition of a difference of 2. These pairs highlight the fascinating patterRead more
Twin primes are pairs of prime numbers that differ by 2. Between 1 and 100, the twin primes are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), and (71, 73). Each pair consists of two primes satisfying the condition of a difference of 2. These pairs highlight the fascinating patterns of prime distribution within a specific range.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
Identify whether each statement is true or false. Explain. a) There is no prime number whose units digit is 4.
The statement is true because numbers ending in 4 are even. A prime number has only two divisors: 1 and itself. All even numbers are divisible by 2, making them composite, except for the number 2 itself. Since 2 is the only even prime number, any number with a units digit of 4 cannot be prime. For eRead more
The statement is true because numbers ending in 4 are even. A prime number has only two divisors: 1 and itself. All even numbers are divisible by 2, making them composite, except for the number 2 itself. Since 2 is the only even prime number, any number with a units digit of 4 cannot be prime. For example, numbers like 14, 24, and 34 all have divisors other than 1 and themselves.
For more NCERT Solutions for Class 6 Math Chapter 5 Prime Time Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/