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The airport are right angles triangle is 20 CM the difference between its other two sides the 4 cm the sides are option A 11 cm 50 cm option B 12 CM 16 cm options is 20 CM 20 CM?
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The airport are right angles triangle is 20 CM the difference between ...
Given Information:
The right-angled triangle at the airport has one side of 20 cm and the difference between the other two sides is 4 cm.
Calculating the Other Two Sides:
Let's assume the two other sides of the right-angled triangle are x and x+4.
According to the Pythagorean theorem, in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Therefore, in this case, we have:
20^2 = x^2 + (x+4)^2
400 = x^2 + x^2 + 8x + 16
2x^2 + 8x - 384 = 0
x^2 + 4x - 192 = 0
(x+16)(x-12) = 0
x = 12 or x = -16 (ignoring negative value)
Calculating the Other Side Lengths:
Therefore, the other two sides of the right-angled triangle are 12 cm and 16 cm.
Hence, the correct option is B: 12 cm and 16 cm.
Explanation:
The lengths of the sides of a right-angled triangle can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, by applying this theorem and considering the given information, we were able to determine that the other two sides of the triangle are 12 cm and 16 cm, respectively.
The right-angled triangle at the airport has one side of 20 cm and the difference between the other two sides is 4 cm.
Calculating the Other Two Sides:
Let's assume the two other sides of the right-angled triangle are x and x+4.
According to the Pythagorean theorem, in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Therefore, in this case, we have:
20^2 = x^2 + (x+4)^2
400 = x^2 + x^2 + 8x + 16
2x^2 + 8x - 384 = 0
x^2 + 4x - 192 = 0
(x+16)(x-12) = 0
x = 12 or x = -16 (ignoring negative value)
Calculating the Other Side Lengths:
Therefore, the other two sides of the right-angled triangle are 12 cm and 16 cm.
Hence, the correct option is B: 12 cm and 16 cm.
Explanation:
The lengths of the sides of a right-angled triangle can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, by applying this theorem and considering the given information, we were able to determine that the other two sides of the triangle are 12 cm and 16 cm, respectively.
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The airport are right angles triangle is 20 CM the difference between its other two sides the 4 cm the sides are option A 11 cm 50 cm option B 12 CM 16 cm options is 20 CM 20 CM?
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The airport are right angles triangle is 20 CM the difference between its other two sides the 4 cm the sides are option A 11 cm 50 cm option B 12 CM 16 cm options is 20 CM 20 CM? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The airport are right angles triangle is 20 CM the difference between its other two sides the 4 cm the sides are option A 11 cm 50 cm option B 12 CM 16 cm options is 20 CM 20 CM? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The airport are right angles triangle is 20 CM the difference between its other two sides the 4 cm the sides are option A 11 cm 50 cm option B 12 CM 16 cm options is 20 CM 20 CM?.
The airport are right angles triangle is 20 CM the difference between its other two sides the 4 cm the sides are option A 11 cm 50 cm option B 12 CM 16 cm options is 20 CM 20 CM? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The airport are right angles triangle is 20 CM the difference between its other two sides the 4 cm the sides are option A 11 cm 50 cm option B 12 CM 16 cm options is 20 CM 20 CM? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The airport are right angles triangle is 20 CM the difference between its other two sides the 4 cm the sides are option A 11 cm 50 cm option B 12 CM 16 cm options is 20 CM 20 CM?.
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