English

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.

Advertisements
Advertisements

Question

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. 

Advertisements

Solution

False (F)
Reason: The difference of any two sides of a triangle is less than third side.

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 8.4 | Page 81

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ABD = ∠ACD.


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


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): 

Sides opposite to equal angles of a triangle may be unequal 


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

Angles opposite to equal sides of a triangle are equal 


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

The bisectors of two equal angles of a triangle are equal 


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

 


Prove that the perimeter of a triangle is greater than the sum of its altitudes. 


Fill in the blank to make the following statement true. 

If two angles of a triangle are unequal, then the smaller angle has the........ side opposite to it. 


Fill in the blank to make the following statement true.  

If two sides of a triangle are unequal, then the larger side has .... angle opposite to it. 


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


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


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, if l1 || l2, the value of x is


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


In ∆PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your answer.


AD is a median of the triangle ABC. Is it true that AB + BC + CA > 2AD? 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.


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×