Answer:
x ≈ 3.1 ft
Step-by-step explanation:
The segment from the centre to the chord is a perpendicular bisector, thus
The triangle is right with base = x
Applying Pythagoras' identity to the right triangle, then
( x )² + 1.4² = 2.1²
x² + 1.96 = 4.41 ( subtract 1.96 from both sides )
x² = 2.45 ( multiply both sides by 4 )
x² = 9.8 ( take the square root of both sides )
x = ≈ 3.1 ft ( to the nearest tenth )
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IF IT EQUALS 0
1. find two number that multiplied to 48 and adds to 14, which are 6 and 8.
2. substitute the new numbers in with x to get x^2 + 6x + 8x + 48.
3. factor out the x and the 8 to get x(x+6)+8(x+6).
4. x = -6, x = -8
IF IT DOES NOT EQUAL 0
then (x+6)*(x+8) is your answer.