Advertisements
Advertisements
Question
Find the measure of each angle of an equilateral triangle.
Advertisements
Solution
In equilateral triangle we know that each angle is equal
So ∠A = ∠B = ∠C
Now ∠A + ∠B + ∠C = 180° (by triangle property)
3∠A = 180°
∠A = 60°
Hence. ∠A = ∠B = ∠C = 60°
APPEARS IN
RELATED QUESTIONS
In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the othe Prove that the triangles are congruent.
In the given figure, ∠P ≅ ∠R seg, PQ ≅ seg RQ. Prove that, ΔPQT ≅ ΔRQS.
The following figure has shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Prove that: (i) BN = CM (ii) ΔBMC ≅ ΔCNB
State, whether the pairs of triangles given in the following figures are congruent or not:
Δ ABC in which AB = 2 cm, BC = 3.5 cm and ∠C = 80° and Δ DEF in which DE = 2 cm, DF = 3.5 cm and ∠D = 80°.
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(AB = 8cm,BC = 6cm,∠B = 100°);
ΔPQR;(PQ = 8cm,RP = 5cm,∠Q = 100°).
In a circle with center O. If OM is perpendicular to PQ, prove that PM = QM.
In ΔABC, X and Y are two points on AB and AC such that AX = AY. If AB = AC, prove that CX = BY.
In the figure, ∠BCD = ∠ADC and ∠ACB =∠BDA. Prove that AD = BC and ∠A = ∠B.
Given that ∆ABC ≅ ∆DEF List all the corresponding congruent sides
If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles
