Answer:
h = 24 cm
Step-by-step explanation:
By using the similar triangle property in the given triangles,
Since, ΔBCD ~ ΔBAE
Their corresponding sides will be in the same ratio,
[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]
[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]
[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]
10h = 20(36 - h)
10h = 720 - 20h
30h = 720
h = 24 cm
Therefore, height h = 24 cm is the answer.
