Question

AD = 8cm, AB = 16cm, CE= 3.5cm find AE by BPT theorem​

Answer 1

Answer:

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Step-by-step explanation:

We have,

=

3

4

| |

ℎ, ℎ, ℎ

=

Adding 1 on both sides, we get

+ 1 =

+ 1

3

4

+ 1 =

+

⇒

3+4

4

=

[∵ AE + EC = AC]

⇒

7

4

=

15

⇒ EC = 15×4

7

⇒ EC = 60

7

Now, AE + EC = AC

⇒ AE + 60

7

= 15

⇒ AE = 15 −

60

7

=

105−60

7

=

45

7

= 6.43 cm

∴ AE = 6.43 cm

(iii)

We have,

=

2

3

| |

ℎ, ℎ, ℎ,

=

⇒

3

2

=

Adding 1 on both sides, we get