Answer:
About 3.1 feet
Step-by-step explanation:
To find the missing lengths of a triangle, we must use pythagorean theorem. I'll put each part in steps so you can easily follow.
Step 1: Set Up the Equation
[tex]a^{2} + b^{2} = c^{2}[/tex]
Note: c is the longest side of the triangle, the hypotenuse and a and b are the other two sides.
Step 2: Fill in Given Values
[tex]1.4^{2} + b^{2} = 2.1^{2}[/tex]
Step 3: Multiply
[tex]1.96 + b^{2} = 4.41[/tex]
Step 4: Subtract
[tex]1.96 + b^{2} = 4.41\\b^{2} = 2.45[/tex]
Step 5: Unsquare b
[tex]b = \sqrt{2.45} \\b = 1.56524758424...[/tex]
b = about 1.6
Step 6: Find the Chord
[tex]x = 2y = 2 * 1.57 = 3.14[/tex]
about 3.1 feet
Step 7: Check
1.96 + 2.45 = 4.41
4.41 = 4.41 ✔
Step 8: Answer
x = about 3.1 feet
I'm always happy to help :)
