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. A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12√2 cm, then the area of the triangle is:
- a)64√2cm square
- b)16√3cm square
- c)64√3cm square
- d)62√3cm square
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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. A square and an equilateral triangle have the same perimeter. If the...
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. A square and an equilateral triangle have the same perimeter. If the...
Let's denote the side length of the square as $s$ and the side length of the equilateral triangle as $t$. We know that the perimeter of the square is equal to the perimeter of the triangle, so we can write the following equation:
$4s = 3t$
We also know that the diagonal of the square is equal to 12 units. The diagonal of a square divides it into two congruent right triangles, so we can use the Pythagorean theorem to find the relationship between the side length and the diagonal of the square:
$s^2 + s^2 = 12^2$
$2s^2 = 144$
$s^2 = 72$
$s = \sqrt{72} = 6\sqrt{2}$
Now, we can substitute the value of $s$ into the equation we found earlier:
$4(6\sqrt{2}) = 3t$
$24\sqrt{2} = 3t$
$t = \frac{24\sqrt{2}}{3} = 8\sqrt{2}$
Therefore, the side length of the equilateral triangle is $8\sqrt{2}$.
$4s = 3t$
We also know that the diagonal of the square is equal to 12 units. The diagonal of a square divides it into two congruent right triangles, so we can use the Pythagorean theorem to find the relationship between the side length and the diagonal of the square:
$s^2 + s^2 = 12^2$
$2s^2 = 144$
$s^2 = 72$
$s = \sqrt{72} = 6\sqrt{2}$
Now, we can substitute the value of $s$ into the equation we found earlier:
$4(6\sqrt{2}) = 3t$
$24\sqrt{2} = 3t$
$t = \frac{24\sqrt{2}}{3} = 8\sqrt{2}$
Therefore, the side length of the equilateral triangle is $8\sqrt{2}$.
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. A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12√2 cm, then the area of the triangle is:a)64√2cm squareb)16√3cm squarec)64√3cm squared)62√3cm squaree)None of theseCorrect answer is option 'C'. Can you explain this answer?
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. A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12√2 cm, then the area of the triangle is:a)64√2cm squareb)16√3cm squarec)64√3cm squared)62√3cm squaree)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about . A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12√2 cm, then the area of the triangle is:a)64√2cm squareb)16√3cm squarec)64√3cm squared)62√3cm squaree)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for . A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12√2 cm, then the area of the triangle is:a)64√2cm squareb)16√3cm squarec)64√3cm squared)62√3cm squaree)None of theseCorrect answer is option 'C'. Can you explain this answer?.
. A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12√2 cm, then the area of the triangle is:a)64√2cm squareb)16√3cm squarec)64√3cm squared)62√3cm squaree)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about . A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12√2 cm, then the area of the triangle is:a)64√2cm squareb)16√3cm squarec)64√3cm squared)62√3cm squaree)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for . A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12√2 cm, then the area of the triangle is:a)64√2cm squareb)16√3cm squarec)64√3cm squared)62√3cm squaree)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for . A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 12√2 cm, then the area of the triangle is:a)64√2cm squareb)16√3cm squarec)64√3cm squared)62√3cm squaree)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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