English

Which of the Following Statements Are True (T) and Which Are False (F): If the Bisector of the Vertical Angle of a Triangle Bisects the Base, Then the Triangle May Be Isosceles. - Mathematics

Advertisements
Advertisements

Question

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

If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. 

Advertisements

Solution

False (F)
Reason: The angular bisector of the vertex angle is also a median
⇒  The triangle must be an isosceles and also may be an equilateral triangle.

shaalaa.com
  Is there an error in this question or solution?
Chapter 12: Congruent Triangles - Exercise 12.5 [Page 62]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 12 Congruent Triangles
Exercise 12.5 | Q 5.6 | Page 62

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that

  1. ΔABE ≅ ΔACF
  2. AB = AC, i.e., ABC is an isosceles triangle.


In a ΔABC, if ∠A=l20° and AB = AC. Find ∠B and ∠C. 


ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C. 

 


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

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.  


Fill the blank in the following so that the following statement is true. 

Sides opposite to equal angles of a triangle are ...... 


Fill the blank in the following so that the following statement is true. 

In an equilateral triangle all angles are ..... 


In a ΔABC, if ∠B = ∠C = 45°, which is the longest side? 


Is it possible to draw a triangle with sides of length 2 cm, 3 cm and 7 cm? 

 


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

Difference of any two sides of a triangle is equal to the third side. 


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

Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one. 


If the angles A, B and C of ΔABC satisfy the relation B − A = C − B, then find the measure of ∠B.


If the measures of angles of a triangle are in the ratio of 3 : 4 : 5, what is the measure of the smallest angle of the triangle?


The base BC of triangle ABC is produced both ways and the measure of exterior angles formed are 94° and 126°. Then, ∠BAC =


The angles of a right angled triangle are


Which of the following correctly describes the given triangle?


D is a point on the side BC of a ∆ABC such that AD bisects ∠BAC. Then ______.


It is given that ∆ABC ≅ ∆FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?


If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer


M is a point on side BC of a triangle ABC such that AM is the bisector of ∠BAC. Is it true to say that perimeter of the triangle is greater than 2 AM? Give reason for your answer.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×