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In the segmen...

Question

In the segment shown in figure, the length of $¯ ¯¯¯¯¯¯ ¯ B C$ is three more than twice the length of $¯ ¯¯¯¯¯¯ ¯ A B$ . If the length of $¯ ¯¯¯¯¯¯ ¯ A C$ is $27 c m$ , calculate the length of $¯ ¯¯¯¯¯¯ ¯ A B$ .

8 c m

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9 c m

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10 c m

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12 c m

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Solution

The correct option is B $8 c m$
Given $B C = 2 A B + 3$ , $A C = 27$
$\Rightarrow A C = A B + B C$
$\Rightarrow 27 = A B + 2 A B + 3$
$\Rightarrow 27 = 3 A B + 3$
$\Rightarrow A B = 8$

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In the segment shown in figure, the length of ¯¯¯¯¯¯¯¯BC is three more than twice the length of ¯¯¯¯¯¯¯¯AB. If the length of ¯¯¯¯¯¯¯¯AC is 27cm, calculate the length of ¯¯¯¯¯¯¯¯AB.

The correct option is B 8cmGiven BC=2AB+3, AC=27⇒AC=AB+BC⇒27=AB+2AB+3⇒27=3AB+3⇒AB=8

In the segment shown in figure, the length of $¯ ¯¯¯¯¯¯ ¯ B C$ is three more than twice the length of $¯ ¯¯¯¯¯¯ ¯ A B$ . If the length of $¯ ¯¯¯¯¯¯ ¯ A C$ is $27 c m$ , calculate the length of $¯ ¯¯¯¯¯¯ ¯ A B$ .

The correct option is B $8 c m$
Given $B C = 2 A B + 3$ , $A C = 27$
$\Rightarrow A C = A B + B C$
$\Rightarrow 27 = A B + 2 A B + 3$
$\Rightarrow 27 = 3 A B + 3$
$\Rightarrow A B = 8$