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
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.
Is the following statement true and false :
An exterior angle of a triangle is equal to the sum of the two interior opposite angles.
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.
The length of the sides of the triangle is given. Say what types of triangles they are 3.7 cm, 3.4 cm, 4 cm.
The number of angles in the following figure is ______.
The number of triangles in the following figure is ______.
In the following figure, PQ ⊥ RQ, PQ = 5 cm and QR = 5 cm. Then ∆PQR is ______.
Can we have two acute angles whose sum is an obtuse angle? Why or why not?
The sides of a triangle must always be connected so that:
