Question

Find the of X if triangle DBE ~ triangle ABC. please show work

Answer 1

X= 7 units

Explanation:

since the triangles are similar the ratio. of their common sides will be equal so,

BE/BD= BC/BA

(4X-8)/18= 45/22.5

4X -8 = 18×2

4X= 36-8

X= 28/4

X= 7

Answer 2

• BD/AB=BE/BC
• 18/18+22.5=4x-8/45
• 18/40.5=4x-8/45
• 40.5(4x-8)=810
• 4x-8=20
• 4x=28
• x=7