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If the blue radius below is perpendicular to the green chord and the segment BC is 7.6 units long, what is the length of the chord?

A. 15.2 units

B. 3.8 units

C. 30.4 units

D. 7.6 units

If the blue radius below is perpendicular to the green chord and the segment BC is-example-1
User BWG
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5.8k points

2 Answers

3 votes

Answer:

The correct answer is A. 15.2 units!

Explanation:

User CLAbeel
by
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5 votes

Answer:

The correct answer is A. 15.2 units

Explanation:

The segment AB is congruent to the segment BC eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC => AB+BC=AC, which is chord => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!


User Michael Leiss
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