7i99zhfh5d 7i99zhfh5d
  • 22-01-2021
  • Mathematics
contestada

Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
D
36 cm
X
h
A А
E
20 cm

Use similar triangles to calculate the height h cm of triangle ABE 10 cm D 36 cm X h A А E 20 cm class=

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eudora eudora
  • 27-01-2021

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.

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CallMeDude69420 CallMeDude69420
  • 25-01-2022

Answer:

24

Step-by-step explanation:

I took the test

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