The points A(3,5), B(-5,9) and C(k, k+2) are the vertices of a triangle ABC. 1) given that the area of the triangle ABC is 18 units², find the possible values of k.
2) hence find the height of the triangle ABC for which the base is AB

Step-by-step explanation:

Don"t be intimidated by the points. Graph them and find your base and height

This is easy because your base is just the distance from A to A on the horizontal plane, 8.

The height is defined by the vertical distance of B, 4.

Now use the area of a triangle formula

(A = )

A= 1/2 (4) (8)

A= 1/2 x 32

A= 16

Your area is 16 sq. units.

eve and marks ratios are equivalent

step-by-step explanation:

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130