# The sides of the triangle 6,8 and 10 find the largest angle.

March 31, 2021 | education

| According to the properties of a triangle, the largest angle opposite the largest side. Let’s pretend that:

AB = 6 cm;

BC = 8 cm;

AC = 10 cm.

Thus, the largest angle in this triangle will be the angle ∠B, opposite to the AC side.

Let’s determine if the given triangle is right-angled:

AC ^ 2 = AB ^ 2 + BC ^ 2;

AC ^ 2 = 6 ^ 2 + 8 ^ 2 = 36 + 64 = 100;

AC = √100 = 10 cm.

This triangle is rectangular, and since it is located opposite the hypotenuse of this triangle, its degree measure is 90 °.

Answer: The angle opposite to the larger side is 90 °.

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