Points A, B, C and D lie on one straight line, and points C and D are extreme points, point A is between B and C.

univerkov | March 9, 2021 | education

Points A, B, C and D lie on one straight line, and points C and D are extreme points, point A is between B and C. Distance between points BC = 14 cm, AD = 16 cm, BD = 10 cm. What is the distance between points A and C?

This is the arrangement of points on a straight line.

Let us express AB in terms of AD and BD we know.

AB = AD – BD.

Now let’s express AC in terms of BC and AB.

AC = BC – AB.

Substitute the value AB into the resulting equality.

AC = BC – (AD – BD) = BC – AD + BD.

It is known that BC = 14 cm, AD = 16 cm, BD = 10 cm.

Let’s find the value of AC.

AC = 14 – 16 + 10 = 8.

Answer: AC = 8 cm.

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