Class 9 Exam > Class 9 Questions > The difference between the sides at right ang...
Start Learning for Free
The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle?
Most Upvoted Answer
The difference between the sides at right angle in a right angle trian...
Given information:
- Difference between the sides at right angle = 14 cm
- Area of the triangle = 120 cm²
Let's solve the problem step by step:
1. Finding the sides of the triangle:
- Let the two sides at right angle be x and x+14 (as the difference between the sides is 14 cm).
- Area of a right angle triangle = 1/2 * base * height
- Given area = 120 cm²
- x(x+14)/2 = 120
- x² + 14x = 240
- x² + 14x - 240 = 0
- (x+24)(x-10) = 0
- x = 10 cm (as the length cannot be negative)
2. Calculating the sides of the triangle:
- The sides of the triangle are 10 cm, 24 cm, and 26 cm (using Pythagorean theorem).
3. Finding the perimeter of the triangle:
- Perimeter of a triangle = sum of all three sides
- Perimeter = 10 + 24 + 26
- Perimeter = 60 cm
Therefore, the perimeter of the right angle triangle is 60 cm.
- Difference between the sides at right angle = 14 cm
- Area of the triangle = 120 cm²
Let's solve the problem step by step:
1. Finding the sides of the triangle:
- Let the two sides at right angle be x and x+14 (as the difference between the sides is 14 cm).
- Area of a right angle triangle = 1/2 * base * height
- Given area = 120 cm²
- x(x+14)/2 = 120
- x² + 14x = 240
- x² + 14x - 240 = 0
- (x+24)(x-10) = 0
- x = 10 cm (as the length cannot be negative)
2. Calculating the sides of the triangle:
- The sides of the triangle are 10 cm, 24 cm, and 26 cm (using Pythagorean theorem).
3. Finding the perimeter of the triangle:
- Perimeter of a triangle = sum of all three sides
- Perimeter = 10 + 24 + 26
- Perimeter = 60 cm
Therefore, the perimeter of the right angle triangle is 60 cm.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle?
Question Description
The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle?.
The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle?.
Solutions for The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle? defined & explained in the simplest way possible. Besides giving the explanation of
The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle?, a detailed solution for The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle? has been provided alongside types of The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle? theory, EduRev gives you an
ample number of questions to practice The difference between the sides at right angle in a right angle triangle is 14 cm the area of triangle is 120 CM square calculate the perimeter of triangle? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup