Question

Triangle ABC has vertices at A(0, 5), B(−3, 3), and C(0, −5). Classify the triangle according to the side lengths.

Answer 1

Scalene triangle

Explanation:

The given triangle has vertices at A(0, 5), B(−3, 3), and C(0, −5).

We use the absolute value method to find the length of AC.

`|AC|=|5--5|=10` units.

We use the distance formula to get;

`|AB|=√((-3-0)^2+(3-5)^2)`

`|AB|=√(9+4)`

`|AB|=√(13)` units

We use the distance formula to find

`|BC|=√((-3-0)^2+(-5-3)^2)`

`|BC|=√(9+64)`

`|BC|=√(73)` units.

The three sides of the triangle are not equal in length.

The triangle is scalene