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The base of triangle is half of that it's side .if the perimeter of triangle is 42 more than its base and the largest side is 18 units .find the height of triangle.
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The base of triangle is half of that it's side .if the perimeter of tr...
Given information:
- Base of the triangle = 0.5 * side
- Perimeter = Base + 42
- Largest side = 18 units
Finding the base:
Let the base of the triangle be x. According to the given information, the side of the triangle will be 2x.
Finding the perimeter:
The perimeter of the triangle = sum of all sides
Perimeter = x + 2x + 18 = 3x + 18
Given that:
Perimeter = Base + 42
3x + 18 = x + 42
2x = 24
x = 12 units
Finding the height:
To find the height of the triangle, we will use the formula for the area of a triangle:
Area = 0.5 * base * height
Plugging in the values:
Area = 0.5 * 12 * height
Area = 6 * height
We know that the largest side of the triangle is 18 units. Using the Pythagorean theorem, we can find the height:
height^2 + (0.5 * side)^2 = largest side^2
height^2 + 6^2 = 18^2
height^2 + 36 = 324
height^2 = 288
height = √288
height ≈ 16.97 units
Therefore, the height of the triangle is approximately 16.97 units.
Community Answer
The base of triangle is half of that it's side .if the perimeter of tr...
a)16 b)32 c)64 d)25
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The base of triangle is half of that it's side .if the perimeter of triangle is 42 more than its base and the largest side is 18 units .find the height of triangle.
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The base of triangle is half of that it's side .if the perimeter of triangle is 42 more than its base and the largest side is 18 units .find the height of triangle. for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The base of triangle is half of that it's side .if the perimeter of triangle is 42 more than its base and the largest side is 18 units .find the height of triangle. covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The base of triangle is half of that it's side .if the perimeter of triangle is 42 more than its base and the largest side is 18 units .find the height of triangle..
The base of triangle is half of that it's side .if the perimeter of triangle is 42 more than its base and the largest side is 18 units .find the height of triangle. for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The base of triangle is half of that it's side .if the perimeter of triangle is 42 more than its base and the largest side is 18 units .find the height of triangle. covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The base of triangle is half of that it's side .if the perimeter of triangle is 42 more than its base and the largest side is 18 units .find the height of triangle..
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