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Which of the Following Statements Are True (T) and Which Are False (F): the Two Altitudes Corresponding to Two Equal Sides of a Triangle Need Not Be Equal.

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Question

Which of the following statements are true (T) and which are false (F): 

The two altitudes corresponding to two equal sides of a triangle need not be equal. 

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Solution

False (F)
Reason: Since two sides are equal, the triangle is an isosceles triangle. 
⇒ The two altitudes corresponding to two equal sides must be equal.  

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Chapter 12: Congruent Triangles - Exercise 12.5 [Page 62]

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R.D. Sharma Mathematics [English] Class 9
Chapter 12 Congruent Triangles
Exercise 12.5 | Q 5.7 | Page 62

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