Stubborn triangles

Geometry Level 1

A triangle has a 6 0 ∘ 60^\circ angle. If two of its sides are 1 m 1\text{ m} long, how many different triangles can one draw which fit these measurements?

Infinitely many 1 2 4 3

Jonas Katona by Jonas Katona , 22, USA

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1 solution

Rishabh Jain
Jun 9, 2016

Take 60 ° 60° as vertex angle. Other two angles = 180 − 60 2 = 60 ° =\dfrac{180-60}{2}=60°

Take 60 ° 60° as base angle. Vertex angle = 180 − ( 60 + 60 ) = 60 ° =180-(60+60)=60° .

In either of the cases the triangle will be an equilateral one. Hence only 1 triangle \boxed{\color{#D61F06}{ 1 ~\text{triangle}}} .

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