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Fiesta28 [93]
3 years ago
7

Use similar triangles to calculate the height, h cm, of triangle ABE.

Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

Answer:

h=24cm

Step-by-step explanation:

∠DBC=∠ABE (vertically opposite angles)

∠CDB=∠AEB (alternate angles)

∠DCB=∠BAE (alternate angles)

Therefore the triangles DBC and ABE are similar.

That means that the triangles are in ratio to each other.

CD:AE

10:20

1:2

This means that the height of DBC is half the height of BAE.

Since the sum of their heights is 36, h is 2/3 of 36.

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