Share & grow the world's knowledge!
We want to connect the people who have knowledge to the people who need it, to bring together people with different perspectives so they can understand each other better, and to empower everyone to share their knowledge.
The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Find its area.
The sides of the triangular plot are in the ratio 3:5:7, and the perimeter is 300 m. Let the sides be 3x, 5x, and 7x. From the perimeter: 3x + 5x + 7x = 300 → 15x = 300 → x = 20. Thus, the sides are: 3x = 60 m, 5x = 100 m, 7x = 140 m. The semi-perimeter (s) is: s = Perimeter / 2 = 300 / 2 = 150 m. URead more
The sides of the triangular plot are in the ratio 3:5:7, and the perimeter is 300 m. Let the sides be 3x, 5x, and 7x.
From the perimeter:
3x + 5x + 7x = 300 → 15x = 300 → x = 20.
Thus, the sides are:
3x = 60 m, 5x = 100 m, 7x = 140 m.
The semi-perimeter (s) is:
s = Perimeter / 2 = 300 / 2 = 150 m.
Using Heron’s formula for the area of a triangle:
Area = √[s(s-a)(s-b)(s-c)],
where a = 60 m, b = 100 m, c = 140 m.
Substitute the values:
Area = √[150(150-60)(150-100)(150-140)]
= √[150 × 90 × 50 × 10]
= √6750000.
Simplify the square root:
√6750000 = √(2² × 3³ × 5⁶) = 2 × 3¹.⁵ × 5³ = 12√30.
Thus, the area of the triangle is 12√30 m².
This question related to Chapter 10 Mathematics Class 9th NCERT. From the Chapter 10 Heron’s Formula. Probability. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
What is the importance of Class 9 Mathematics Chapter 9 MCQ?
The importance of Class 9 Mathematics Chapter 9 (Circles) MCQs lies in their ability to enhance conceptual clarity, improve exam preparedness, and develop problem-solving skills. These questions test a student's understanding of key concepts like theorems, properties of circles, and their applicatioRead more
The importance of Class 9 Mathematics Chapter 9 (Circles) MCQs lies in their ability to enhance conceptual clarity, improve exam preparedness, and develop problem-solving skills. These questions test a student’s understanding of key concepts like theorems, properties of circles, and their applications, while also helping identify weak areas for improvement. Practicing MCQs boosts confidence by familiarizing students with the exam pattern and improving time management skills. Additionally, mastering this chapter through MCQs builds a strong foundation for advanced geometry topics in higher classes, making it an essential part of effective learning and preparation.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
What is the importance of Class 9 Mathematics Chapter 8 MCQ?
The importance of Class 9 Mathematics Chapter 8 (Quadrilaterals) MCQs lies in their role in strengthening a student's understanding of the properties, types, and theorems related to quadrilaterals. These MCQs help students quickly assess their conceptual knowledge and application skills, such as ideRead more
The importance of Class 9 Mathematics Chapter 8 (Quadrilaterals) MCQs lies in their role in strengthening a student’s understanding of the properties, types, and theorems related to quadrilaterals. These MCQs help students quickly assess their conceptual knowledge and application skills, such as identifying angle sums, diagonal properties, and congruence conditions. Practicing MCQs enhances problem-solving speed and accuracy, which is crucial for performing well in exams. Additionally, they provide a comprehensive review of the chapter, ensuring that students can apply theorems like the Midpoint Theorem effectively. By mastering these questions, students build a solid foundation in geometry, which is essential for advanced mathematical concepts in higher classes.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
What is the importance of Class 9 Mathematics Chapter 7 MCQ?
The importance of Class 9 Mathematics Chapter 7 (Triangles) MCQs lies in their ability to reinforce understanding of key concepts such as congruence criteria, inequalities in triangles, and properties of angles and sides. These MCQs help students test their knowledge of theorems like SSS, SAS, ASA,Read more
The importance of Class 9 Mathematics Chapter 7 (Triangles) MCQs lies in their ability to reinforce understanding of key concepts such as congruence criteria, inequalities in triangles, and properties of angles and sides. These MCQs help students test their knowledge of theorems like SSS, SAS, ASA, and RHS, while also improving their problem-solving speed and accuracy. Practicing MCQs allows students to identify weak areas and gain confidence in applying triangle-related concepts effectively. Additionally, mastering this chapter through MCQs builds a strong foundation for advanced geometry topics in higher classes, making it crucial for both exam preparation and long-term learning.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
What is the importance of Class 9 Mathematics Chapter 5 MCQ?
The importance of Class 9 Mathematics Chapter 5 (Introduction to Euclid’s Geometry) MCQs lies in their ability to deepen a student's understanding of foundational geometric concepts, such as axioms, postulates, and theorems introduced by Euclid. These MCQs help students assess their grasp of logicalRead more
The importance of Class 9 Mathematics Chapter 5 (Introduction to Euclid’s Geometry) MCQs lies in their ability to deepen a student’s understanding of foundational geometric concepts, such as axioms, postulates, and theorems introduced by Euclid. These MCQs help students assess their grasp of logical reasoning and the basic principles that form the basis of geometry, like the definitions of points, lines, and planes. Practicing these questions enhances critical thinking and clarity of thought while preparing students for exams by familiarizing them with conceptual and application-based queries. Mastering this chapter through MCQs also lays a strong groundwork for advanced mathematical studies, ensuring a clear understanding of how geometry has evolved and its relevance in modern mathematics.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/