मराठी

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
Advertisements

प्रश्न

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

उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Congruent Triangles - Exercise 12.5 [पृष्ठ ६२]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 9
पाठ 12 Congruent Triangles
Exercise 12.5 | Q 5.6 | पृष्ठ ६२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

In a ΔABC, it is given that AB = AC and the bisectors of ∠B and ∠C intersect at O. If M is a point on BO produced, prove that ∠MOC = ∠ABC. 


Prove that each angle of an equilateral triangle is 60°. 


ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that ΔABC is isosceles  


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. 


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

If altitudes CE and BF of a triangle ABC are equal, then AB = .... 


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

Sum of any two sides of a triangle is greater than the third side. 

 


ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Prove that ∠D = \[\frac{1}{2}\] ∠A.


If the angles of a triangle are in the ratio 2 : 1 : 3, then find the measure of smallest angle.


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


In ΔABC, if ∠A = 100°, AD bisects ∠A and AD ⊥ BC. Then, ∠B =


In the given figure, if EC || AB, ∠ECD = 70° and ∠BDO = 20°, then ∠OBD is


In the given figure, if AB ⊥ BC. then x =


In the given figure, what is z in terms of x and y?


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


If the bisectors of the acute angles of a right triangle meet at O, then the angle at Obetween the two bisectors is


In a ΔABC, ∠A = 50° and BC is produced to a point D. If the bisectors of ∠ABC and ∠ACDmeet at E, then ∠E =


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


Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.


Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×