Advertisements
Advertisements
Question
Is the following statement true and false :
All the angles of a triangle can be greater than 60°.
Options
True
False
Advertisements
Solution
All the angles of a triangle can be greater than 60°
According to the angle sum property of the triangle
In ΔABC
∠A + ∠B + ∠C = 180°
Now, if all the three angles of a triangle is greater than 60°
Then,
∠A + ∠B + ∠C > 180°
APPEARS IN
RELATED QUESTIONS
If the angles of a triangle are in the ratio 1: 2 : 3, determine three angles.
If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosce
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.
In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.
The sum of two angles of a triangle is equal to its third angle. Determine the measure of the third angle.
Find the unknown marked angles in the given figure:
The length of the sides of the triangle is given. Say what types of triangles they are 4.3 cm, 4.3 cm, 4.3 cm.
In a ∆ABC, AB = AC. The value of x is ________
Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than `2/3` of a right angle.
How is a vertex of triangle △ABC most accurately defined?
