English
Maharashtra State BoardSSC (English Medium) 9th Standard

If two sides of a triangle are 5 cm and 1.5 cm, the length of its third side cannot be ______.

Advertisements
Advertisements

Question

If two sides of a triangle are 5 cm and 1.5 cm, the length of its third side cannot be ______.

Options

  • 3.7 cm

  • 4.1 cm

  • 3.8 cm

  • 3.4 cm

MCQ
Fill in the Blanks
Advertisements

Solution

If two sides of a triangle are 5 cm and 1.5 cm, the length of its third side cannot be 3.4 cm.

Explanation:

Sum of the lengths of two sides of a triangle > length of the third side.

Here, 1.5 cm + 3.4 cm

= 4.9 cm < 5 cm

∴ Third side ≠ 3.4 cm

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Triangles - Problem Set 3 [Page 49]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 3 Triangles
Problem Set 3 | Q 1. (i) | Page 49

RELATED QUESTIONS

The angles of a triangle are (x − 40)°, (x − 20)° and `(1/2x-10)^@.` find the value of x 


Two angles of a triangle are equal and the third angle is greater than each of those angles
by 30°. Determine all the angles of the triangle. 


Can a triangle have two acute angles?Justify your answer in case. 


Can a triangle have  All angles more than 60°? Justify your answer in case.


Compute the value of x in the following figure:


Is the following statement true and false :

An exterior angle of a triangle is equal to the sum of the two interior opposite angles.


Is the following statement true and false : 

An exterior angle of a triangle is greater than the opposite interior angles.


Fill in the blank to make the following statement true:

 A triangles cannot have more than ......obtuse angles.


In the given figure, if AB || CD, EF || BC, ∠BAC = 65° and ∠DHF = 35°, find ∠AGH.


Side BC of a triangle ABC has been produced to a point D such that ∠ACD = 120°. If ∠B = \[\frac{1}{2}\]∠A is equal to


Find the unknown marked angles in the given figure:


One of the base angles of an isosceles triangle is 52°. Find its angle of the vertex.


Classify the following triangle according to angle:


The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.

8.4 cm, 16.4 cm, 4.9 cm


The correct statement out of the following is 


The angles of a triangle are in the ratio 2 : 3 : 4. Then the angles are


In the following figure, ∠BAC = 90° and AD ⊥ BC. The number of right triangles in the figure is ______.


In the following figure, points lying in the interior of the triangle PQR are ______, that in the exterior are ______ and that on the triangle itself are ______.


Can we have two acute angles whose sum is a right angle? Why or why not?


Can we have two acute angles whose sum is an obtuse angle? Why or why not?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×