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The sides of an equilateral triangle are short and by 12 unit 13 units and 14 units Hospital are right Tangled triangle is formed the side of the equilateral triangle is solution a 17 units option B 16 units option C 15 unit 15d 18 years?
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The sides of an equilateral triangle are short and by 12 unit 13 units...
Solution to the Tangled Triangle Problem
Given Information:
- The sides of the equilateral triangle are 12, 13, and 14 units.
- A right-angled triangle is formed with one side being the side of the equilateral triangle.
Approach to Find the Side of the Equilateral Triangle:
1. Let's assume the side of the equilateral triangle is 'x' units.
2. Since it is an equilateral triangle, all sides are equal, so x = 12 = 13 = 14 units.
Using Pythagorean Theorem to Solve:
- In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a^2 + b^2 = c^2).
- Here, the hypotenuse is the side of the equilateral triangle (x). The other two sides are 12 and 13 units.
Calculation:
- x^2 = 12^2 + 13^2
- x^2 = 144 + 169
- x^2 = 313
- x = √313
- x ≈ 17.7 units
Final Answer:
- The side of the equilateral triangle is approximately 17 units.
- Therefore, the correct option is A) 17 units.
Given Information:
- The sides of the equilateral triangle are 12, 13, and 14 units.
- A right-angled triangle is formed with one side being the side of the equilateral triangle.
Approach to Find the Side of the Equilateral Triangle:
1. Let's assume the side of the equilateral triangle is 'x' units.
2. Since it is an equilateral triangle, all sides are equal, so x = 12 = 13 = 14 units.
Using Pythagorean Theorem to Solve:
- In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a^2 + b^2 = c^2).
- Here, the hypotenuse is the side of the equilateral triangle (x). The other two sides are 12 and 13 units.
Calculation:
- x^2 = 12^2 + 13^2
- x^2 = 144 + 169
- x^2 = 313
- x = √313
- x ≈ 17.7 units
Final Answer:
- The side of the equilateral triangle is approximately 17 units.
- Therefore, the correct option is A) 17 units.
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The sides of an equilateral triangle are short and by 12 unit 13 units and 14 units Hospital are right Tangled triangle is formed the side of the equilateral triangle is solution a 17 units option B 16 units option C 15 unit 15d 18 years?
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The sides of an equilateral triangle are short and by 12 unit 13 units and 14 units Hospital are right Tangled triangle is formed the side of the equilateral triangle is solution a 17 units option B 16 units option C 15 unit 15d 18 years? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sides of an equilateral triangle are short and by 12 unit 13 units and 14 units Hospital are right Tangled triangle is formed the side of the equilateral triangle is solution a 17 units option B 16 units option C 15 unit 15d 18 years? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sides of an equilateral triangle are short and by 12 unit 13 units and 14 units Hospital are right Tangled triangle is formed the side of the equilateral triangle is solution a 17 units option B 16 units option C 15 unit 15d 18 years?.
The sides of an equilateral triangle are short and by 12 unit 13 units and 14 units Hospital are right Tangled triangle is formed the side of the equilateral triangle is solution a 17 units option B 16 units option C 15 unit 15d 18 years? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sides of an equilateral triangle are short and by 12 unit 13 units and 14 units Hospital are right Tangled triangle is formed the side of the equilateral triangle is solution a 17 units option B 16 units option C 15 unit 15d 18 years? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sides of an equilateral triangle are short and by 12 unit 13 units and 14 units Hospital are right Tangled triangle is formed the side of the equilateral triangle is solution a 17 units option B 16 units option C 15 unit 15d 18 years?.
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