Question

A student drew a triangle on a coordinate plane. The coordinates of

each vertex of the triangle are shown.
• E(-2,-3)
• F(1,5)
• G(4, -3)
What is the length, in units, of side EG of the triangle?
A. 2
B. 3
C. 6
D. 7

Answer 1

The length of side EG is 6 units.

To find the length of a side of a triangle, we can use the distance formula. The distance formula is:

```

d = √(x2 - x1)2 + (y2 - y1)2

```

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, we have:

```

EG = √((4 - (-2))2 + ((-3) - (-3))2)

= √(62 + 02)

= √36

= 6

```

Therefore, the length of side EG is 6 units.

Explanation: