If a triangle side lengths of 12 cm, 35 cm, and 37 cm, what type of angle is it?
12^2 + 35^2 = 37^2
so it is a right triangle which is probably the question.
To determine the type of angle in a triangle with side lengths of 12 cm, 35 cm, and 37 cm, we can use the Pythagorean theorem and the triangle inequality rule.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. A triangle with side lengths that satisfy this equation is a right triangle.
In this case, the side lengths are 12 cm, 35 cm, and 37 cm. To check if it is a right triangle, we can first find the square of each side length:
12^2 = 144
35^2 = 1225
37^2 = 1369
Now, we can see if the sum of the squares of the two smaller sides is equal to the square of the largest side:
144 + 1225 = 1369
Since 144 + 1225 = 1369, we can conclude that the triangle is a right triangle.
Therefore, the type of angle in this triangle is a right angle.