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


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 Fig. 10.23, PQRS is a square and SRT is an equilateral triangle. Prove that
(i) PT = QT (ii) ∠TQR = 15° 

 


Prove that the medians of an equilateral triangle are equal. 


In a ΔABC, it is given that AB = AC and the bisectors of ∠B and ∠C intersect at O. If M is a point on BO produced, prove that ∠MOC = ∠ABC. 


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

Angles opposite to equal sides of a triangle are equal 


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 = .... 


In a ΔABC, if ∠B = ∠C = 45°, which is the longest side? 


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


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. 


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


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, 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 =


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.


Show that in a quadrilateral ABCD, AB + BC + CD + DA < 2(BD + AC)


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


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×