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Question 13:-After the construction of the bypass road the distance saved in reaching Barogh from Alwahwill bea) 10 kmb) 2 kmc) 6 kmd) 16 km |
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Answer» Given : The road from Alwah to Chagotar, is exactly perpendicular to the road going from Chagotkar to Barogh. The distance covered by the road between Chagotkar and Barogh is 7 kilometers more that the distance of the road connecting Alwah and Chagotkar. Ayushi is an engineer looking after the project of building a DIRECT bypass road that would connect Alwah and Barogh and has PROPOSED to construct a 17 km direct bypass road between the two CITIES.
To Find : After the CONSTRUCTION of the bypass road the distance saved in reaching Barogh from Alwah will be a) 10 km b) 2 km c) 6 km d) 16 km
Solution :
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides. x² + (x + 7)² = 17² => x² + x² + 14x + 49 = 289 => 2x² + 14x - 240 = 0 => x² + 7x - 120 = 0 => (x + 15)(x - 8) = 120 => x = 8 x can not be -ve x = 8 x + 7 = 15 8 + 15 = 23 km 23 - 17 = 6 km After the construction of the bypass road the distance saved in reaching Barogh from Alwah will be 6 km
Learn More: The equation which represents the above situation algebraically The equation which represents the above situation algebraically i |
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