Can someone actually help me and not tell me to use google thanks lol

You have to keep on studying and paying attention in class so you understand your teacher and soon enough you will be great.

Step-by-step explanation:

A( 0, 2), B (2, 5), and C (−1, 7)

The length sides of the triangle are

AB , AC and BC

For AB A( 0, 2), B (2, 5)

| AB | = √ ( 2 - 0)² + ( 5 - 2)²

= √ 2² + 3² = √ 4 + 9

= √13 units

For AC A( 0, 2), C (−1, 7)

| AC | = √ ( - 1 - 0)² + (7-2)²

= √1 + 5² = √ 1 + 25

= √ 26 units

For BC B (2, 5), C (−1, 7)

| BC | = √ ( - 1 - 2)² + (7-5)²

= √ (-3)² + 2² = √ 9 + 4

= √13 units

For AB A( 0, 2), B (2, 5)

Slope = 5 - 2 / 2 - 0 = 3/2

For AC A( 0, 2), C (−1, 7)

Slope = 7-2/ -1-0 = 5/-1 = - 5

For BC B (2, 5), C (−1, 7)

Slope = -1-2/7-5 = -3/2

The triangle is an isosceles triangle since two sides | AB | and | BC | are equal that's they both have √13units.

Hope this helps you