2 years ago

Pls solve #4. very important

Mathematics

1 answer:

Reil [10]2 years ago

8 0

Answer:

ΔABC~ΔDEC

<u>Ratios of corresponding sides are equal:</u>

DE/AB = DC/AC
DE/40 = 15/(15 +9)
DE = 40*15/24
DE = 25

ΔABD~ΔBCD

<u>Ratios:</u>

AD/BD = BD/DC
AD*DC = BD²
16*(20 - 16) = BD²
64 = BD²
8 = BD

<u>If ΔABC ~ ΔXYZ, the ratios below should be equal:</u>

AC/XZ = BC/YZ
10/15 = 18/24
2/3 = 3/4

Ratios are different so the triangles are <u>not</u> similar

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