In ABC AD=12 , AB=15,and AC=13 what is BC

Given:

A triangle ABC where AD = 12 units, AB = 15 units, and AC = 13 units.

To find:

The length of BC.

Solution:

According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.

There are 2 triangles, ACD and ABD in triangle ABC.

In triangle ACD, AC is the hypotenuse.

In triangle ABD, AB is the hypotenuse.

Assume the length of CD is x and the length of DB is y.

For triangle ACD,

For triangle ABD,

units.

So BC is option C. 14 units long.

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