Question

Find the coordinates of the vertices of the triangle and compute the area of the triangle using the distance formula. (round to the nearest integer in units2)
A) 10 units2
B) 21 units2
C) 23 units2
D) 36 units2

What is the approximate distance from point D to the origin?
A) 7 units
B) 8 units
C) 10 units
D) 13 units

Answer 1

Question 1 - answer B

vertices of triangle are (4,-2), (1,-5) and (-3,5)

Area of triangle with vertices (x1,y1), (x2,y2) and (x3,y3)

                 = mod[ 1/2 { x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) } ]

on inserting the values, we get

area of triangle = 21 unit^2

Question 2- answer A

coordinates of D = (7,1)

To find distance from origin, we can use distance formula

Distance = sqrt [ ( x1 - x2 )^2  +  ( y1 - y2 )^2 ]

Distance = sqrt[ ( 7-0 )^2  +  ( 1-0 )^2  ]

Distance = 7.07 units

Answer 2

The answer is b. 8units