20. Since BE CD, triangle ABE is similar to triangle ACD (parallel lines imply two sets of equal angles). We can use this relationship to set up a ratio of the respective sides of the two triangles: AE AB = AD AC 4 3 6 So AD = 8. We can find the area of the trapezoid by finding the area of triangle CAD and subtracting the area of triangle ABE. Triangle CAD is a right triangle since it has side lengths of 6, 8 and

SINCE BE CD, TRIANGLE ABE IS SIMILAR TO TRIANGLE ACD (PARALLEL LIN...

MANHATTAN TEST 2 ANSWERS

20. Since BE CD, triangle ABE is similar to triangle ACD (parallel

lines imply two sets of equal angles). We can use this relationship

to set up a ratio of the respective sides of the two triangles:

So AD = 8.

We can find the area of the trapezoid by finding the area of triangle

CAD and subtracting the area of triangle ABE.

Triangle CAD is a right triangle since it has side lengths of 6, 8 and