English

Which of the Following Statements Are True (T) and Which Are False (F)? If Two Angles of a Triangle Are Unequal, Then the Greater Angle Has the Larger Side Opposite to It.

Advertisements
Advertisements

Question

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

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

Advertisements

Solution

True (T)
Reason: The side opposite to greater angle is longer and smaller angle is shorter in a triangle

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 8.5 | 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.


In a ΔABC, if AB = AC and ∠B = 70°, find ∠A. 


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


ABC is a triangle in which ∠B = 2 ∠C. D is a point on BC such that AD bisects ∠BAC and AB = CD.
Prove that ∠BAC = 72°. 


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

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

 


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


In ΔABC, side AB is produced to D so that BD = BC. If ∠B = 60° and ∠A = 70°, prove that: (i) AD > CD (ii) AD > AC 


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 the three sides of a triangle is less than the sum of its three altitudes. 


Fill in the blank to make the following statement true. 

In a right triangle the hypotenuse is the .... side. 


Fill in the blank to make the following statement true. 

The sum of three altitudes of a triangle is ..... than its perimeter. 


In the given figure, x + y =


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 angles of a right angled triangle are


Which of the following correctly describes the given triangle?


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×