RATIO of sides of triangle is X : (x - 1) : (x - 18)Formula:PYTHAGORAS theorem,(diagonal)2 = (side1)2 + (side2)2Calculation:Let sides of right angled triangle be ax, a(x - 1), a(x - 18) respectively.(ax)2 = [a(x - 1)]2 + [a(x - 18)]2⇒ x2 = x2 - 2x + 1 + x2 - 36x + 324⇒ x2 - 38x + 325 = 0⇒ x = 25 or x = -13Sides of right angled triangle = 25, 24 and 7∴ Perimeter of right angled triangle = 25 + 24 + 7 = 56 units

"> RATIO of sides of triangle is X : (x - 1) : (x - 18)Formula:PYTHAGORAS theorem,(diagonal)2 = (side1)2 + (side2)2Calculation:Let sides of right angled triangle be ax, a(x - 1), a(x - 18) respectively.(ax)2 = [a(x - 1)]2 + [a(x - 18)]2⇒ x2 = x2 - 2x + 1 + x2 - 36x + 324⇒ x2 - 38x + 325 = 0⇒ x = 25 or x = -13Sides of right angled triangle = 25, 24 and 7∴ Perimeter of right angled triangle = 25 + 24 + 7 = 56 units

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The sides of a right - angled triangle are in the ratio x ∶ (x - 1) ∶ (x - 18). What is the perimeter of the triangle?

General Knowledge General Awareness in General Knowledge . 7 months ago

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Given:RATIO of sides of triangle is X : (x - 1) : (x - 18)Formula:PYTHAGORAS theorem,(diagonal)2 = (side1)2 + (side2)2Calculation:Let sides of right angled triangle be ax, a(x - 1), a(x - 18) respectively.(ax)2 = [a(x - 1)]2 + [a(x - 18)]2⇒ x2 = x2 - 2x + 1 + x2 - 36x + 324⇒ x2 - 38x + 325 = 0⇒ x = 25 or x = -13Sides of right angled triangle = 25, 24 and 7∴ Perimeter of right angled triangle = 25 + 24 + 7 = 56 units

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Posted on 17 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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