English

Fill the Blank in the Following So that the Following Statement is True. in a δAbc If ∠A = ∠C , Then Ab = ......

Advertisements
Advertisements

Question

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

In a ΔABC if ∠A = ∠C , then AB = ...... 

Fill in the Blanks
Advertisements

Solution

In a ΔABC if , ∠A= ∠C then AB= BC 
Reason: Since, the sides opposite to equal angles are equal, the side opposite to∠A
i.e., BC and ∠C i.e., AB are equal 

 

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

APPEARS IN

R.D. Sharma Mathematics [English] Class 9
Chapter 12 Congruent Triangles
Exercise 12.5 | Q 6.4 | Page 62

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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


In figure, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD 

 


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


In a ΔPQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP
respectively. Prove that LN = MN. 

 


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

The measure of each angle of an equilateral triangle is 60° 

 


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

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


In Fig. 10.131, prove that: (i) CD + DA + AB + BC > 2AC (ii) CD + DA + AB > BC  

 


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. 

 


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. 


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


In the given figure, x + y =


In the given figure, for which value of x is l1 || l2?


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


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


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


Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be ______.


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


Show that in a quadrilateral ABCD, AB + BC + CD + DA > AC + BD


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×