Question

Audrey takes a sheet of paper and makes a diagonal cut from one corner to the opposite

Answer 1

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Let us take the width of the paper as base, the cut she made be hypotenuse and the paper's length be perpendicular.

Here,

Hypotenuse (H) = 87 inch

Base (B) = 60 inch

Perpendicular (P) = [To be calculated]

As, we can use Pythagoras theorem to find. So by using Pythagoras theorem :

H² = P² + B²

${87}^{2} = {P}^{2} + {60}^{2} \\ \\ \implies \: 7569 = {P}^{2} + 3600 \\ \\ \implies \: 7569 - 3600 = {P}^{2} \\ \\ \implies3969 = {P}^{2} \\ \\ \implies \: P = \sqrt{3969} \\ \\ \implies \: P = 63$

The length of the paper is 63 inches.

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