In a triangle ABC, Angle C is a straight line, AB = 10, BC = 6. Find AC.

In triangle ABC, the following values of a right-angled triangle are known:

Corner C straight;
AB = 10;
BC = 6.
Let’s find the AC.

Decision.

If the hypotenuse AB and one leg BC of the right triangle are known, then we can find the second leg AC, applying the Pythagorean theorem.

AB² = BC² + AC²;

10² = BC² + 6²;

100 = BC² + 36;

BC² = 100 – 36;

BC² = 64;

BC² = 8²;

BC = 8;

From here we got that the second leg of a right-angled triangle is BC = 8.

Answer: BC = 8.