English

Which of the Following Statements Are True (T) and Which Are False (F)? Sum of Any Two Sides of a Triangle is Greater than Twice the Median Drawn to The Third Side.

Advertisements
Advertisements

Question

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

Sum of any two sides of a triangle is greater than twice the median drawn to the third side. 

Advertisements

Solution

True (F) 

shaalaa.com
  Is there an error in this question or solution?
Chapter 12: Congruent Triangles - Exercise 12.6 [Page 81]

APPEARS IN

R.D. Sharma Mathematics [English] Class 9
Chapter 12 Congruent Triangles
Exercise 12.6 | Q 8.2 | Page 81

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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


Show that the angles of an equilateral triangle are 60° each.


In Figure AB = AC and ∠ACD =105°, find ∠BAC.  


If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other. 


AB is a line seg P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See Fig. 10.26). Show that the line PQ is perpendicular bisector of AB. 

 


In an isosceles triangle, if the vertex angle is twice the sum of the base angles, calculate the angles of the triangle. 


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

In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then ΔABC ≅ Δ ……


Fill in the blank to make the following statement true.  

The sum of any two sides of a triangle is .... than the third side. 


Write the sum of the angles of an obtuse triangle.


In a triangle ABC, if AB =  AC and AB is produced to D such that BD =  BC, find ∠ACD: ∠ADC.


Line segments AB and CD intersect at O such that AC || DB. If ∠CAB = 45° and ∠CDB = 55°, then ∠BOD =


In the given figure, what is the value of x?


In the given figure, AB and CD are parallel lines and transversal EF intersects them at Pand Q respectively. If ∠APR = 25°, ∠RQC = 30° and ∠CQF = 65°, then


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


The angles of a right angled triangle are


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 8 cm, 7 cm and 4 cm? Give reason for your answer.


In the following figure, D and E are points on side BC of a ∆ABC such that BD = CE and AD = AE. Show that ∆ABD ≅ ∆ACE.


CDE is an equilateral triangle formed on a side CD of a square ABCD (Figure). Show that ∆ADE ≅ ∆BCE.


In a triangle ABC, D is the mid-point of side AC such that BD = `1/2` AC. Show that ∠ABC is a right angle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×