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Geometry2.19 Triangles Review

 Points to Remember: A triangle is obtained by taking three non-collinear points in a plane and joining them in pairs, by line segments. A triangle has 3 sides, 3 vertices and 3 angles. A scalene triangle is one in which no two sides are equal. An isosceles triangle is one in which two sides are equal. An equilateral triangle is one in which all sides are equal. An acute angled triangle is one in which all the angles are acute. An acute scalene triangle is an acute angled triangle in which no two sides are equal. An acute isosceles triangle is an acute angled triangle in which two sides are equal. An acute equilateral triangle is an acute angled triangle in which all sides are equal. An obtuse triangle is one in which one angle is obtuse. An obtuse scalene triangle is an obtuse angled triangle in which no two sides are equal. An obtuse isosceles triangle is an obtuse angled triangle in which two sides are equal . A right triangle is one in which one angle is 90 degrees. A right scalene triangle is a right angled triangle in which no two sides are equal. A right isosceles triangle is a right angled triangle in which two sides are equal. Directions: Read the above review points carefully and answer the following questions: Illustrate each of the above review points by drawing a triangle. Explain in your own words how triangles are classified.
 Q 1: If one of the angles of a triangle is 125 in degree measure and the sides are of length 12 cm, 15 cm and 10 cm, then the triangle is a (an) ___________ triangle.Obtuse scaleneAcute scaleneObtuse isosceles Q 2: If the length of the sides of a triangle are 16 cm, 17 cm and 18 cm, then the triangle is a (an) ___________ triangle.EquilateralIsoscelesScalene Q 3: If all the sides of a triangle are of same length, then the triangle is a(an) ___________ triangle.ScaleneEquilateralIsosceles Q 4: If, in an acute angled triangle, the length of the first side is equal to the second, then the triangle is a (an) ___________ triangle.Acute scaleneAcute isoscelesAcute equilateral Q 5: In an isosceles triangle one of the angles is of degree measure 90. The triangle is a (an) ___________ triangle.Obtuse isoscelesRight isoscelesAcute isosceles Q 6: The number of measurements required to construct an equilateral triangle is ___________.ThreeOneTwo Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!