Advertisements
Advertisements
Question
Is the following statement true and false :
A triangle can have two right angles.
Options
True
False
Advertisements
Solution
A triangle can have two right angles.
According to the angle sum property of the triangle
In ΔABC
∠A + ∠B + ∠C = 180°
Now, if there are two right angles in a triangle
Let ∠B = ∠C = 90°
Then,
∠A + 90° + 90° = 180°
∠A + 180° = 180°
∠A = 180° - 180°
∠A = 0°
(This is not possible.)
APPEARS IN
RELATED QUESTIONS
The exterior angles, obtained on producing the base of a triangle both way are 104° and 136°. Find all the angles of the triangle.
Compute the value of x in the following figure:
In a Δ ABC, AD bisects ∠A and ∠C > ∠B. Prove that ∠ADB > ∠ADC.
In a triangle ABC, ∠A = 45° and ∠B = 75°, find ∠C.
In the following, find the marked unknown angle:
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.
17 cm, 7 cm, 8 cm
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.
8.4 cm, 16.4 cm, 4.9 cm
The angles of the triangle are 3x – 40, x + 20 and 2x – 10 then the value of x is
The number of triangles in the following figure is ______. Their names are ______.
Identify three triangles in the figure.
