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.
12 cm, 12 cm, 16 cm
Advertisements
Solution
12 cm, 12 cm, 16 cm
Here, 12 < 12 + 16 or 12 < 28
12 < 12 + 16 or 12 < 28
16 < 12 + 12 or 16 < 24
In any triangle, the sum of the lengths of any two sides of the triangle is always greater than the third side.
Therefore, the triangle is possible.
RELATED QUESTIONS
ABC is a triangle in which ∠A — 72°, the internal bisectors of angles B and C meet in O.
Find the magnitude of ∠BOC.
In the given figure, AC ⊥ CE and ∠A : ∠B : ∠C = 3 : 2 : 1, find the value of ∠ECD.
Fill in the blank to make the following statement true:
A triangles cannot have more than ......obtuse angles.
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.
If the side BC of ΔABC is produced on both sides, then write the difference between the sum of the exterior angles so formed and ∠A.
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is
In ΔABC, ∠B = ∠C and ray AX bisects the exterior angle ∠DAC. If ∠DAX = 70°, then ∠ACB =
One angle of a triangle is 60°. The other two angles are in the ratio of 5: 7. Find the two angles.
The length of the sides of the triangle is given. Say what types of triangles they are 3 cm, 4 cm, 5 cm.
In the following figure, ∠BAC = 90° and AD ⊥ BC. The number of right triangles in the figure is ______.
