A line PQ is drawn parallel to the side BC of - ABC which cuts side AB at P andside AC at Q- If AB - 9-0 cm- CA - 6-0 cm- and AQ - 4-2 cm- find the length of AP-

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Given Base(BC), Base Angle(ABC) and AB-AC

A line PQ is ...

Question

A line PQ is drawn parallel to the side BC of $Δ A B C$ which cuts side AB at P and
side AC at Q. If AB = 9.0 cm, CA = 6.0 cm, and AQ = 4.2 cm, find the length of AP.

6.3 c m

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5.4 c m

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4.8 c m

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3.6 c m

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Solution

The correct option is A $6.3 c m$
Given, PQ || BC
If a straight line connecting two sides of a triangle is parallel to its third side then the straight line divides these sides proportionally.

Hence, $\frac{A P}{A B} = \frac{A Q}{A C}$

$\frac{A P}{9} = \frac{4.2}{6}$

$A P = 0.7 \times 9$

$A P = 6.3$ cm

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A line PQ is drawn parallel to the side BC of ΔABC which cuts side AB at P andside AC at Q. If AB = 9.0 cm, CA = 6.0 cm, and AQ = 4.2 cm, find the length of AP.

The correct option is A 6.3 cmGiven, PQ || BCIf a straight line connecting two sides of a triangle is parallel to its third side then the straight line divides these sides proportionally.Hence, APAB=AQACAP9=4.26AP=0.7×9AP=6.3 cm

A line PQ is drawn parallel to the side BC of $Δ A B C$ which cuts side AB at P and
side AC at Q. If AB = 9.0 cm, CA = 6.0 cm, and AQ = 4.2 cm, find the length of AP.