English

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.

Advertisements
Advertisements

Question

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.

Give Reasons
Sum
Advertisements

Solution

Yes, because in each case the sum of two sides is greater than the third side.

i.e., 7 + 4 > 8, 8 + 4 > 7, 7 + 8 > 4

Hence, it is possible to construct a triangle with given sides.

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Triangles - Exercise 7.2 [Page 66]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 9
Chapter 7 Triangles
Exercise 7.2 | Q 12. | Page 66

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that

  1. ΔABE ≅ ΔACF
  2. AB = AC, i.e., ABC is an isosceles triangle.


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


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

 


Two lines AB and CD intersect at O such that BC is equal and parallel to AD. Prove that the lines AB and CD bisect at O.


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

 


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


In Figure 10.24, AB = AC and ∠ACD =105°, find ∠BAC. 

 


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. 


ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that ΔABC is isosceles  


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

Angle opposite to equal sides of a triangle are ..... 


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. 

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


ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Prove that ∠D = \[\frac{1}{2}\] ∠A.


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


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


In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to ______.


Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.


Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. Show that external angle adjacent to ∠ABC is equal to ∠BOC


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×