Pythagorean Theorem Warmup

Geometry Level 1

If the length of the grass is 5 and the height of the building is 12, what is the length of the ladder?

12 13 16 25

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2 solutions

Queenbe Monyei
Jul 23, 2016

Relevant wiki: Pythagorean Theorem

Plug in the lengths of the building and grass into the theorem equation: a 2 + b 2 = c 2 a^2+ b^2= c^2

1 2 2 + 5 2 = c 2 12^2+ 5^2= c^2

144 + 25 = c 2 144 + 25 = c^2

169 = c 2 169 = c2

169 = c 2 169 = c^2

13 = c

Puranjay Khanijo
Aug 5, 2016

Put in the values of 'a' and 'b' in the expression a2+b2=c2 12^2+5^2=c^2 144+25=c^2 169=c^2 13=c

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