Think carefully

Geometry Level 2

What is the perimeter of a triangle with vertices at ( 1 , 1 ) , ( 1 , 21 ) (1, 1), (1, 21) and ( 22 , 1 ) (22,1) ?


The answer is 70.

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1 solution

Denton Young
Mar 20, 2016

The triangle is a right-angled triangle with legs of 20 and 21. That adds to 41, so we just need the length of the hypotenuse.

2 0 2 + 2 1 2 20^2 + 21^2 = 400 + 441 = 841. 841 \sqrt{841} = 29.

41 + 29 = 70.

Moderator note:

Simple standard approach.

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