In the following diagram which is not drawn to scale, why can't both line AB and line AC be perpendicular to line BC?

Perpendicular lines meet at a right angle.

AB and AC cannot be perpendicular to BC because AB and AC are not parallel

From the diagram, we can see that line AB and line AC intersects at point A.

This means that both lines are not parallel

For any two lines to be perpendicular to a third line, the two lines must be parallel to each other.

So, we can conclude that:

Lines AB and AC cannot be perpendicular to line BC because both lines are not parallel.

Read more about parallel and perpendicular lines at:

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AC and AB both can't be perpendicular to line BC because if they were, then AB and AC would be parallel to each other and would never intersect. In this diagram, AB and AC intersect, so it it not possible.

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step-by-step explanation:

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