Question

Δ ABC -Δ EDC
What is the value of x?

Answer 1

x = 11

Explanation:

Similar figures have sides in the same ratio

24/36 = (3x + 7)/(6x - 6)

2/3 = (3x + 7)/(6x - 6)

12x - 12 = 9x + 21

3x = 33

x = 11

Answer 2

x=11

Explanation:

Since the triangles are similar, we can use ratios to solve

36 6x-6

------------- = --------------

24 3x+7

Using cross products

36(3x+7) = 24(6x-6)

108x +252 = 144x - 144

Subtract 108x from each side

108x-108x +252 = 144x-108x - 144

252 =36x -144

Add 144 to each side

252+144 = 36x-144+144

396 =36x

Divide by 36

396/36 =36x/36

11 =x