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saw5 [17]
2 years ago
10

Number 4 plssss!!!!!!!!!!

Mathematics
2 answers:
shtirl [24]2 years ago
6 0

Answer:

AB = 21

Step-by-step explanation:

Tales' theorem

\frac{12}{14} =\frac{18}{AB}

AB=\frac{(14)(18)}{12}

AB=21

Hope this helps

olya-2409 [2.1K]2 years ago
5 0

(i)Given that:

AE || BD

AB = ? [Let AB be x]

BC = 3

ED = 12

DC = 4

We know that

By Basic Proportionality Theorem,

AB/BC = ED/DC

On substituting these values in the above formula

⇛ AB / 3 = 12 / 4

On applying cross multiplication then

⇛ x(4) = (12)3

⇛ 4x = 36

Shift the number 4 from LHS to RHS.

⇛ x = 36÷4

⇛ x = 36/4

Therefore, AB = 9

<u>Answer</u>: The value of AB for the given problem is 9.

Similarly,

(ii) Given that:

EB || DC

AE = 14

ED = 12

AB = ? [Let AB be X]

BC = 18

We know that

By Basic Proportionality Theorem,

AE / ED = AB / BC

On substituting these values in the above formula

⇛ 14 / 12 = x / 18

On applying cross multiplication then

⇛ 14(18) = (12)x

⇛ 252 = 12x

Shift the number 252 from LHS to RHS.

⇛ X = 256÷12

⇛ X = 21

Therefore, AB = 21

<u>Answer</u>: The value of AB for the given problem is 21

<u>Additional comment:</u>

Basic Proportionality Theorem

  • " A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

<u>also read similar questions</u>: In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is..

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