Answered

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Audrey takes a sheet of paper and makes a diagonal cut from one corner to the opposite
corner, making two triangles. The cut she makes is 87 inches long and the width of the paper
is 60 inches. What is the paper's length?

Sagot :

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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

[tex] {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[/tex]

The length of the paper is 63 inches.

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