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.
9 cm, 6 cm, 16 cm
Advertisements
Solution
9 cm, 6 cm, 16 cm
Here, 16 > 9 + 6
= 16 > 15
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 not possible.
RELATED QUESTIONS
If one angle of a triangle is equal to the sum of the other two, show that the triangle is a
right triangle.
ABC is a triangle in which ∠A — 72°, the internal bisectors of angles B and C meet in O.
Find the magnitude of ∠BOC.
If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle.
If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.
Find x, if the angles of a triangle is:
x°, 2x°, 2x°
Find, giving a reason, the unknown marked angles, in a triangle drawn below:
Find, giving a reason, the unknown marked angles, in a triangle drawn below:
Classify the following triangle according to sides:
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
Can you draw a triangle with 25°, 65° and 80° as angles?
