Math, asked by sathishsree9880, 4 months ago

In the given figure, AB and DE are perpendiculars to BC.
If AB = 9 cm, DE = 3 cm and AC = 24 cm,calculate AD.

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Answers

Answered by arshkirankaur1

4

Step-by-step explanation:

Given, ∠ABC=∠DEC=90

∘

In △ABC and △DEC,

∠ABC=∠DEC (Each 90

∘

)

∠ACB=∠DCE (Common)

∠BAC=∠CDE (third angle)

Thus, △ABC∼△DEC

Hence,

DE

AB

=

DC

AC

3

9

=

24−AD

24

24−AD=8

AD=16 cm

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