मराठी

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. - Mathematics

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प्रश्न

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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उत्तर

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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पाठ 12: Congruent Triangles - Exercise 12.5 [पृष्ठ ६२]

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आरडी शर्मा Mathematics [English] Class 9
पाठ 12 Congruent Triangles
Exercise 12.5 | Q 5.7 | पृष्ठ ६२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

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ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD ⊥ BC (Figure). To prove that ∠BAD = ∠CAD, a student proceeded as follows:


In ∆ABD and ∆ACD,

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[Hint: Recall how ∠B = ∠C is proved when AB = AC].


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