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
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
APPEARS IN
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.
Can a triangle have All angles more than 60°? Justify your answer in case.
AB is a line segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See Fig. 10.26). Show that the line PQ is perpendicular bisector of AB.
Compute the value of x in the following figure:

Fill in the blank to make the following statement true:
An exterior angle of a triangle is equal to the two ....... opposite angles.
Fill in the blank to make the following statement true:
A triangle cannot have more than ...... right angles.
In the given figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠B = 65° and ∠C = 33°, find ∠MAN.

Define a triangle.
State exterior angle theorem.
If two acute angles of a right triangle are equal, then each acute is equal to
If the sides of a triangle are produced in order, then the sum of the three exterior angles so formed is
In the following, find the marked unknown angle:

Find x, if the angles of a triangle is:
x°, x°, x°
Find x, if the angles of a triangle is:
x°, 2x°, 2x°
Classify the following triangle according to sides:

Classify the following triangle according to angle:

The angles of the triangle are 3x – 40, x + 20 and 2x – 10 then the value of x is
The angles of a triangle are in the ratio 2 : 3 : 4. Then the angles are
In the following figure, AD is the bisector of ∠BAC. Prove that AB > BD.

