Equation of base of equilateral triangle is x+y=2 ∴‌ Slope ‌=−1⇒tan‌0=−1 θ=135∘
AD‌=|‌
2+1−2
√2
|=‌
1
√2
a‌=AB=‌
2
√3
AD=‌
2
√3
×‌
1
√2
=√‌
2
3
a‌=√‌
2
3
∴‌‌m1‌=tan(135∘−60∘) and‌m2‌=tan(135∘−120∘) m1‌=tan‌75∘‌ and ‌m2=tan‌15∘ m1‌=2+√3‌ and ‌m2=2−√3 ∴|m1−m2|‌=|2+√3−2+√3|=2√3 |m1−m2|+a√2=‌2√3+‌