Answer:
The length of AD is 70
Step-by-step explanation:
From the given figure
→ In triangle ADC
∵ EB // to DC
→ That means EB divides the sides AD and AC into parts proportional
∴ E divides AD into AE and ED
∴ B divides AC into AB and BC
∴ [tex]\frac{AE}{ED}[/tex] = [tex]\frac{AB}{BC}[/tex]
∵ ED = 60
∵ AB = 12
∵ BC = 72
→ Substitute them in the ratio above
∴ [tex]\frac{AE}{60}[/tex] = [tex]\frac{12}{72}[/tex]
→ By using cross multiplication
∵ AE × 72 = 12 × 60
∴ 72 AE = 720
→ Divide both sides by 72
∴ AE = 10
∵ AD = AE + ED
∴ AD = 10 + 60
∴ AD = 70
∴ The length of AD is 70
