y

.(8,5)


(3,1) . .(7,1)
0 x

What is the area of the triangle in the figure above?

y

.
.
. .(8,5)
. . .
. . .
. . .
. . .
. (3,1) ....................(7,1)
0..................................x
.
.

y

.-----------------------
.-----------------------
.______________________.(8,5)
.__________________.....
.______________.........
.____________...........
.____(3,1)..............(7,1)

0 _________________________________x
.
.
.

y

.///////////////////////////////////////
.///////////////////////////////////////
.//////////////////O(8,5)///////////////
.////////////////OOO////////////////////
.//////////////OOOOO////////////////////
.////////////OOOOOO/////////////////////
./////(3,1)OOOOOOOO(7,1)////////////////
.///////////////////////////////////////
0............................x//////////

that's triangle, on the right top(8,5),on the bottom left (3,1),bottom right(7,1)

1. 6
2. 8
3. 10
4. 12
5. 14

anybody can answer this question

the base: 7-3=4

the high: 5-1=4

so, base x high / 2
4 x 4 /2 = 8

answer b, am i right

looks ok to me.

To find the area of the triangle in the figure, we can use the formula for finding the area of a triangle.

The formula for finding the area of a triangle is:

Area = (base * height) / 2

In this case, we need to determine the base and height of the triangle.

The coordinates of the vertices of the triangle are given as (3,1), (7,1), and (8,5).

To find the base, we can use the distance formula between the two points (3,1) and (7,1) on the x-axis.

The distance formula is:

Distance = √[(x2 - x1)² + (y2 - y1)²]

So, the distance between (3,1) and (7,1) is:

Distance = √[(7 - 3)² + (1 - 1)²]
= √[4² + 0²]
= √[16]
= 4

Therefore, the base of the triangle is 4 units.

To find the height, we can use the distance formula between the points (7,1) and (8,5) on the y-axis.

The distance between (7,1) and (8,5) is:

Distance = √[(8 - 7)² + (5 - 1)²]
= √[1² + 4²]
= √[1 + 16]
= √[17]

Therefore, the height of the triangle is √17 units.

Now, we can plug the values of the base and height into the formula for the area of a triangle:

Area = (base * height) / 2
= (4 * √17) / 2
= 2√17

So, the area of the triangle in the figure is 2√17 square units.