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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?
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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.
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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?
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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?.
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