Which equation represents the area of the triangle? a) a = 1 2 (ac)(ab)(sin a) b) a = 1 2 (ac)(bc)(sin a) c) a = 1 2 (bc)(bd)(sin a) d) a = 1 2 (ab)(bd)(sin a) eliminate

The correct option is A.

Step-by-step explanation:

Let the vertices of the triangle be ABC.

Draw a perpendicular on AC from B. The height of triangle is represented by the altitude from B.

Area of the triangle is

Therefore option A is correct.

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is