In given figure if $A C, B C$ and $A B$ are tangents to circle at $Q, R$ and $P$ respectively. $A P = x, B R = y, C Q = z$ $A B + A C + B C = p \times (x + y + z)$ . Find $p$ .

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Solution

The correct option is D $2$
In given figure
Perimeter of $△ A B C = A B + B C + A C$

$\Rightarrow A B + A C + B C$

$\Rightarrow A P + B P + A Q + Q C + B R + R C$

$= x + y + x + z + y + z$

$= 2 (x + y + z)$

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In given figure if AC,BC and AB are tangents to circle at Q,R and P respectively. AP=x,BR=y,CQ=z AB+AC+BC=p×(x+y+z). Find p.

The correct option is D 2In given figurePerimeter of △ABC=AB+BC+AC⇒AB+AC+BC⇒AP+BP+AQ+QC+BR+RC=x+y+x+z+y+z=2(x+y+z)

In given figure if $A C, B C$ and $A B$ are tangents to circle at $Q, R$ and $P$ respectively. $A P = x, B R = y, C Q = z$ $A B + A C + B C = p \times (x + y + z)$ . Find $p$ .

The correct option is D $2$
In given figure
Perimeter of $△ A B C = A B + B C + A C$

$\Rightarrow A B + A C + B C$

$\Rightarrow A P + B P + A Q + Q C + B R + R C$

$= x + y + x + z + y + z$

$= 2 (x + y + z)$