हिंदी

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.

Advertisements
Advertisements

प्रश्न

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. 

Advertisements

उत्तर

False (F)
Reason: Sum of these sides of a triangle is greater than sum of its three altitudes 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Congruent Triangles - Exercise 12.6 [पृष्ठ ८१]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 9
अध्याय 12 Congruent Triangles
Exercise 12.6 | Q 8.1 | पृष्ठ ८१

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

In Fig. 10.40, it is given that RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT 

  


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


BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE. 


PQR is a triangle in which PQ = PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. Prove that PS = PT.  

 


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 measure of each angle of an equilateral triangle is 60° 

 


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 = .... 


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

In an isosceles triangle ABC with AB = AC, if BD and CE are its altitudes, then BD is …… CE.


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 


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. 


In the given figure, if AB || DE and BD || FG such that ∠FGH = 125° and ∠B = 55°, find x and y.


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


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 ∆PQR, if ∠R > ∠Q, then ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×