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Question 6. Question 7. Question 8. Question 9. Question Which of the following is not a criterion for congruence of triangles? The angles opposite to equal sides of a triangle are: a Equal b Unequal c supplementary angles d Complementary angles. Then which of the following is true? It is not possible to construct a triangle when its sides are: a 6 cm, 7 cm, 7 cm b 5. Two equilateral triangles are congruent when: a Their areas are proportional b Their sides are equal c Their sides are proportional d Their angles are equal.
Point D is joined to point B see figure. Join A to 0. Show that these altitudes are equal. Show that in a right angled triangle, the hypotenuse is the longest side.
Therefore, we get AC is the longest side. But AC is the hypotenuse of the triangle. Thus, the hypotenuse is the longest side.
Solution: Let us join AC. Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest. Thus, the perpendicular line segment is the shortest line segment drawn on a line from a point not on it. ABC is a triangle. Draw l, the perpendicular bisector of AB.
Draw m, the perpendicular bisector of BC. Let the two perpendicular bisectors l and m meet at O. O is the required point which is equidistant from A, B and C. The point O is called circumcentre of the triangle. In a triangle locate a point in its interior which is equidistant from all the sides of the triangle. Let the two bisectors l Class 9 Maths Chapter 12 Question Answer Online and m meet at O. Point O is called incentre of the triangle.
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