Nautical flags are used to represent letters of the alphabet. The flag for the letter, O consists of a yellow right triangle and a red right triangle which are sewn together along their hypotenuse to form a square. The hypotenuse of the two triangles is three inches longer than a side of the flag. Find the length of the side of the flag.

Short Answer

Expert verified

The length of the side is 1.2 inch.

Step by step solution

01

Step 1. Given Information

Given that the flag's side is s inches and diagonal is s+3 inches.

02

Step 2. Formula for rectangular diagonal

The equation can be denoted as,

Length2+width2=diagonal2(s)2+s2=(s+3)2 (2s)2=(s+3)2 s+3=2ss-2s=-3s=-31-2s=31+2s1.24

The side is 1.2 inch.

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