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InterviewSolution
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The angle of the triangle are in the ratio of 4 ∶ 5 ∶ 6, what kind of triangle is the given triangle?1. Acute angle triangle2. Right angle triangle3. Obtuse angle triangle4. Isosceles triangle |
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Answer» Correct Answer - Option 1 : Acute angle triangle Given: The angle of the triangle are in the ratio = 4 ∶ 5 ∶ 6 Concept used: The Sum of all the angles of the triangle is 180° An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, i.e less than 90° An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° A right triangle or right-angled triangle is a triangle in which one angle is a right angle An isosceles triangle is a triangle that has two sides of equal length Calculations: The sum of angles of triangle = 180° The sum of the angles = (4x + 5x + 6x) ⇒ 15x 15x = 180° ⇒ x = 180°/15 ⇒ x = 12 Hence angles in the triangle are 4x, 5x, 6x = 48, 60, and 72 In a triangle, If all the three angles are less than 90° then, the triangle is known as Acute angle triangle ∴ The triangle is an Acute triangle. |
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