Advertisements
Advertisements
Question
Is the following statement true and false :
All the angles of a triangle can be less than 60°
Options
True
False
Advertisements
Solution
All the angles of a triangle can be less 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 less 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.
The bisectors of base angles of a triangle cannot enclose a right angle in any case.
Is the following statement true and false :
All the angles of a triangle can be greater than 60°.
Fill in the blank to make the following statement true:
An exterior angle of a triangle is always ......... than either of the interior opposite angles.
In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.

In a Δ ABC, AD bisects ∠A and ∠C > ∠B. Prove that ∠ADB > ∠ADC.
Can a triangle together have the following angles?
55°, 55° and 80°
In ΔABC, name the 
a) Three sides: _________, __________, __________
b) Three Angles: _________, __________, __________
c) Three Vertices: _________, __________, __________
D is any point on side AC of a ∆ABC with AB = AC. Show that CD < BD.
In the following figure, l || m and M is the mid-point of a line segment AB. Show that M is also the mid-point of any line segment CD, having its end points on l and m, respectively.

