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mel-nik [20]
2 years ago
10

In a circle, a chord of 50 cm bisects a chord of 40 cm. Find the length of the longer segment of the 50 cm chord.

Mathematics
1 answer:
Andreyy892 years ago
8 0

Answer:

<u>The length of the longer segment of the 50 cm chord = 40</u>

Step-by-step explanation:

let the length of the longer segment of the 50 cm chord = x

so, the other segment = 50 - x

A chord of 50 cm bisects a chord of 40 cm

using the Intersecting Chords Theorem

so, x(50-x) = 20 * 20

50x - x² = 400

x² - 50x + 400 = 0

(x - 40)(x - 10) = 0

x = 40 or x = 10

<u>So, the the length of the longer segment of the 50 cm chord = 40</u>

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