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Vesna [10]
3 years ago
11

Help pls i need this luv you guys ,<333

Mathematics
1 answer:
bagirrra123 [75]3 years ago
7 0

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 = \frac{1}{2} x

Applying Pythagoras' identity to the right triangle, then

(\frac{1}{2} x )² + 1.4² = 2.1²

\frac{1}{4} x² + 1.96 = 4.41 ( subtract 1.96 from both sides )

\frac{1}{4} x² = 2.45 ( multiply both sides by 4 )

x² = 9.8 ( take the square root of both sides )

x = \sqrt{9.8} ≈ 3.1 ft ( to the nearest tenth )

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