Construct an isosceles triangle whose base is 5cm and whose vertical angle is 720 - Maths - Constructions

Question

Construct an isosceles triangle whose base is 5cm and whose
vertical angle is 720

Priyanka Kedia · Accepted Answer

$G i v e n t h a t t h e v e r t i c l e a n g l e = 72^{0} L e t e a c h o f b a s e a n g l e = x^{0} S o, x^{0} + x^{0} + 72^{0} = 180^{0} \Rightarrow 2 x^{0} = 180^{0} - 72^{0} \Rightarrow 2 x^{0} = 108^{0} \Rightarrow x^{0} = 54^{0} N o w, (1) D r a w a l i n e s e g m e n t B C = 5 c m (2) A t B, D r a w ∠ X B C = 54^{0} (3) A t C, D r a w ∠ Y C B = 54^{0} (4) L e t B X a n d C Y int e r \sec t s a t A . T h u s, t h e t r i a n g l e A B C i s t h e r e q u i r e d t r i a n g l e .$