Advertisements
Advertisements
Question
Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to
Options
90°
45°
60°
30°
Solution
In a given ΔABC we are given that the three angles are equal. So, ∠A = ∠B = ∠C
According to the angle sum property of a triangle, in ΔABC
∠A + ∠B + ∠C = 180°
3∠A = 180°
∠A = 60°
∠A = ∠B = ∠C = 60°
Therefore, all the three angles of the triangle are equal to 60°
APPEARS IN
RELATED QUESTIONS
The angles of a triangle are (x − 40)°, (x − 20)° and `(1/2x-10)^@.` find the value of x
The angles of a triangle are arranged in ascending order of magnitude. If the difference
between two consecutive angles is 10°, find the three angles.
Is the following statement true and false :
A triangle can have at most one obtuse angles.
In a Δ ABC, the internal bisectors of ∠B and ∠C meet at P and the external bisectors of ∠B and ∠C meet at Q, Prove that ∠BPC + ∠BQC = 180°.
In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is
In the given figure, express a in terms of b.
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.
Find all the three angles of the ΔABC
O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Show that ∆OCD is an isosceles triangle.
Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than `2/3` of a right angle.