Question

A triangle abc where ab = 5 and ac = 12

And angle bac is less than 90, what is the length of bc

Answer 1

You can use the Pythagorean theorem to find the length of side BC in a right triangle. In this case, you have triangle ABC where AB = 5 and AC = 12, and you want to find BC. If angle BAC is less than 90 degrees, that means it's an acute triangle, and BC is the hypotenuse.

You can use the Pythagorean theorem, which states that in a right triangle:

BC² = AB² + AC²

Substituting the values you provided:

BC² = 5² + 12²

BC² = 25 + 144

BC² = 169

To find BC, you take the square root of 169:

BC = √169

BC = 13

So, the length of BC is 13 units.