Question

Triangle NOP, with vertices N(9,2), O(8,9), and P(5,8), is drawn on the coordinate grid below.What is the area, in square units, of triangle NOP?

Answer 1

THIS ISNT THE RIGHT ANSWER

Answer 2

Triangle EFG, with vertices E(-6,-9), F(-2,-7), and G(-8,-4), is drawn on the coordinate grid below.What is the area, in square units, of triangle EFG?

Answer 3

BOT THIS IS ACTUALLY NOT THE RIGHT ANSWER

Answer 4

To find the area of triangle NOP, we can use the formula for the area of a triangle given its coordinates:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

In this case, x1 = 9, y1 = 2, x2 = 8, y2 = 9, x3 = 5, and y3 = 8.

Substitute these values into the formula:

Area = 1/2 * |9(9 - 8) + 8(8 - 2) + 5(2 - 9)|
Area = 1/2 * |9(1) + 8(6) + 5(-7)|
Area = 1/2 * |9 + 48 - 35|
Area = 1/2 * |22|
Area = 1/2 * 22
Area = 11 square units

Therefore, the area of triangle NOP is 11 square units.

Answer 5

Apologies for the mistake. Let's try to calculate the area of triangle NOP again:

To find the area of a triangle with vertices N(9,2), O(8,9), and P(5,8), we can use the formula for the area of a triangle given the coordinates of its vertices.

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Substitute the coordinates into the formula:

Area = 1/2 * |9(9 - 8) + 8(8 - 2) + 5(2 - 9)|
Area = 1/2 * |9(1) + 8(6) + 5(-7)|
Area = 1/2 * |9 + 48 - 35|
Area = 1/2 * |9 + 13|
Area = 1/2 * 22
Area = 11 square units

Therefore, the corrected area of triangle NOP is 11 square units. Thank you for pointing that out.

Answer 6

To find the area of triangle EFG with vertices E(-6,-9), F(-2,-7), and G(-8,-4), we can use the same formula for the area of a triangle given its coordinates:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Substitute the coordinates into the formula:

Area = 1/2 * |-6(-7) + (-2)(-4) + (-8)(-9)|
Area = 1/2 * (42 + 8 + 72)
Area = 1/2 * 122
Area = 61 square units

Therefore, the area of triangle EFG is 61 square units.

Answer 7

I apologize for the error in my calculation. Let's correct it and calculate the area of triangle EFG with vertices E(-6,-9), F(-2,-7), and G(-8,-4).

Using the formula for the area of a triangle:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Substitute the coordinates into the formula:

Area = 1/2 * |-6(-7 - (-4)) +(-2(-4) -(-9)) +(-8(-9) - (-7))|
Area = 1/2 * |-6(-3) + (-2 +9) + 8 - 7|
Area = 1/2 * (18 + 7 + 1)
Area = 1/2 * 26
Area = 13 square units

Therefore, the correct area of triangle EFG is 13 square units. Thank you for your patience.