Global Triangle

Geometry Level 3

Take the Earth and imagine drawing a line of latitude around the equator. Then drawing a line of longtitude all the way around the Earth such that it passes through the Prime Meridian. Next, imagine standing on the point of intersection of those 2 lines and then moving 9 0 90^{\circ} east from that point along the equator before drawing another line of longtitude from that new point.

These three lines have inscribed a triangle on the Earth. What is the sum of all the interior angles of that triangle in degrees?

27 0 270^{\circ} 9 0 90^{\circ} 25 5 255^{\circ} 18 0 180^{\circ}

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1 solution

William Allen
Mar 6, 2019

It enscribes a triangle where every angle is a right angle! So we have 3 × 9 0 = 27 0 3\times 90^{\circ} = \boxed{270^{\circ}}

Could be a more detailed explanation

vasu paliwal - 2 years, 3 months ago

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How can a triangle have 3 right angles

John Howey - 1 year, 11 months ago

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This is a triangle on a sphere.

William Allen - 1 year, 10 months ago

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