SSC CGL Exam > SSC CGL Questions > The sides of a triangle having area 7776 sq. ...
Start Learning for Free
The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)
- a)400 cm
- b)412 cm
- c)424 cm
- d)432 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4...
Let sides of Δ be 3x, 4x, 5x
7776 = 6x2
∴ x = 36
Sides of Δ will be 108, 144 and 180
Perimeter of Δ is 108 +144 + 180 = 432 cm
7776 = 6x2
∴ x = 36
Sides of Δ will be 108, 144 and 180
Perimeter of Δ is 108 +144 + 180 = 432 cm
Most Upvoted Answer
The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4...
Let sides of Δ be 3x, 4x, 5x
7776 = 6x2
∴ x = 36
Sides of Δ will be 108, 144 and 180
Perimeter of Δ is 108 +144 + 180 = 432 cm
7776 = 6x2
∴ x = 36
Sides of Δ will be 108, 144 and 180
Perimeter of Δ is 108 +144 + 180 = 432 cm
Free Test
FREE
| Start Free Test |
Community Answer
The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4...
Understanding Triangle Area and Ratios
To find the perimeter of a triangle with an area of 7776 sq. cm and sides in the ratio 3:4:5, we first need to determine the lengths of the sides.
Step 1: Assigning Side Lengths
Let the sides of the triangle be:
- 3x (first side)
- 4x (second side)
- 5x (third side)
Step 2: Area of the Triangle
Since the triangle is a right triangle (3:4:5 ratio), we can use the formula for the area:
Area = (1/2) * base * height
Here, base = 4x and height = 3x.
Thus, the area can be calculated as:
Area = (1/2) * 4x * 3x = 6x^2
We know the area is 7776 sq. cm, so we set up the equation:
6x^2 = 7776
Step 3: Solving for x
To find x, divide both sides by 6:
x^2 = 1296
Now, take the square root of both sides:
x = 36
Step 4: Finding the Sides
Now, substitute x back to find the lengths of each side:
- First side = 3x = 3 * 36 = 108 cm
- Second side = 4x = 4 * 36 = 144 cm
- Third side = 5x = 5 * 36 = 180 cm
Step 5: Calculating the Perimeter
The perimeter (P) of the triangle is the sum of all sides:
P = 108 + 144 + 180 = 432 cm
Conclusion
Thus, the perimeter of the triangle is 432 cm, which corresponds to option 'D'.
To find the perimeter of a triangle with an area of 7776 sq. cm and sides in the ratio 3:4:5, we first need to determine the lengths of the sides.
Step 1: Assigning Side Lengths
Let the sides of the triangle be:
- 3x (first side)
- 4x (second side)
- 5x (third side)
Step 2: Area of the Triangle
Since the triangle is a right triangle (3:4:5 ratio), we can use the formula for the area:
Area = (1/2) * base * height
Here, base = 4x and height = 3x.
Thus, the area can be calculated as:
Area = (1/2) * 4x * 3x = 6x^2
We know the area is 7776 sq. cm, so we set up the equation:
6x^2 = 7776
Step 3: Solving for x
To find x, divide both sides by 6:
x^2 = 1296
Now, take the square root of both sides:
x = 36
Step 4: Finding the Sides
Now, substitute x back to find the lengths of each side:
- First side = 3x = 3 * 36 = 108 cm
- Second side = 4x = 4 * 36 = 144 cm
- Third side = 5x = 5 * 36 = 180 cm
Step 5: Calculating the Perimeter
The perimeter (P) of the triangle is the sum of all sides:
P = 108 + 144 + 180 = 432 cm
Conclusion
Thus, the perimeter of the triangle is 432 cm, which corresponds to option 'D'.
|
Explore Courses for SSC CGL exam
|
|
Top Courses for SSC CGLView all
Question Description
The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer?.
The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)a)400 cmb)412 cmc)424 cmd)432 cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL exam
|
|
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!
within 7 days!
Takes less than 10 seconds to signup