Question

The vertices of a triangle are A(0,0),B(3,8),c(9,0) what is the area of the triangle ?

Answer 1

Using the distance formula, we can calculate these distances and find the area of the triangle which is 108 square units.

Step-by-step explanation:

To find the area of a triangle, we can use the formula A = 1/2 * base * height.

In this case, the base is the distance between points A and C, and the height is the distance between point B and the line formed by points A and C. We can find these distances using the distance formula.

Distance between A and C: d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((9 - 0)^2 + (0 - 0)^2) = 9 units

Distance between B and line AC: h

= abs(Ax * (Cy - Ay) + Cx * (Ay - By) + Bx * (Ay - Cy)) / sqrt((Cx - Ax)^2 + (Cy - Ay)^2)

= abs(0 * (0 - 8) + 9 * (8 - 0) + 3 * (0 - 0)) / sqrt((9 - 0)^2 + (0 - 0)^2)

= 24 units

Using these values, we can calculate the area of the triangle: A = 1/2 * base * height

= 1/2 * 9 * 24

= 108 square units.

Answer 2

36 i believe

Step-by-step explanation:

you do base times height then divide that by 2

graph is with a rough sketch

if the base is 9 and the height is 8 as shown in angles a and b

you mutiply 9 and 8 to get 72

72 divided by 2 is 36