Advertisements
Advertisements
Question
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
Advertisements
Solution
8.4 cm, 16.4 cm, 4.9 cm
Here, 16.4 > 8.4 + 4.9 or 16.4 > 13.3
In any triangle, the sum of the lengths of any two sides of a triangle is always greater than the third side.
Therefore, the triangle is not possible.
RELATED QUESTIONS
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, AM ⊥ BC and AN is the bisector of ∠A. If ∠B = 65° and ∠C = 33°, find ∠MAN.
In a Δ ABC, AD bisects ∠A and ∠C > ∠B. Prove that ∠ADB > ∠ADC.
In Δ ABC, if u∠B = 60°, ∠C = 80° and the bisectors of angles ∠ABC and ∠ACB meet at a point O, then find the measure of ∠BOC.
In ΔABC, ∠B = ∠C and ray AX bisects the exterior angle ∠DAC. If ∠DAX = 70°, then ∠ACB =
State, if the triangle is possible with the following angles :
125°, 40°, and 15°
Find, giving a reason, the unknown marked angles, in a triangle drawn below:
The exterior angle of a triangle is equal to the sum of two
In the following figure, AB = BC and AD = BD = DC. The number of isosceles triangles in the figure is ______.
