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What is the ratio AC: CB?​

What is the ratio AC: CB?​-example-1

1 Answer

4 votes

Answer:

D. 1 : 2

Explanation:

Given:

A(-6, -2),

B(6, 7),

C(-2, 1)

Required:

Ratio of AC : CB

SOLUTION:

Find AC:


AC = √((x_2 - x_1)^2 + (y_2 - y_1)^2)

Let,


A(-6, -2) = (x_1, y_1)


C(-2, 1) = (x_2, y_2)


AC = √((-2 -(-6))^2 + (1 -(-2))^2)


AC = √((4)^2 + (3)^2)


AC = √(16 + 9) = √(25)


AC = 5

Find CB:


CB = √((x_2 - x_1)^2 + (y_2 - y_1)^2)

Let,


C(-2, 1) = (x_1, y_1)


B(6, 7) = (x_2, y_2)


CB = √((6 -(-2))^2 + (7 - 1)^2)


CB = √((8)^2 + (6)^2)


CB = √(64 + 36) = √(100)


CB = 10

Find AC : CB

AC : CB = 5 : 10 = 1 : 2

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