Question

Q1) Show that AABC is equilateral if
<A = x+42 , <B = 4x - 12 and < C = 3x + 6 ?​

Answer 1

Answer:

To show: △ABC is equilateral property of equilateral triangle is

∠A=∠B=∠C=60

Given : ∠A=x+42=60

x=18

o

−−−−−−−−(1)

∠B=4x−12=60

4x=72

x=18

o

−−−−−−−−−(2)

∠C=3x−6=60

3x=66

x=22−−−−−−−−−(3)

From eq (1), (2), (3)x



=18

Therefore △ABC is not equilateral.