Question

in trangle ABC PQ || BC if AP = 2.4 , PB = 4.8 AQ = 2.6 then find QC?​

Answer 1

Answer:

5.2

Step-by-step explanation:

AP/PB=AQ/QC

2.4/4.8=2.6/QC

QC=2

Answer 2

Given:

a ∆ABC

PQ||BC

AP=2.4

PB=4.8

AQ=2.6

To find:

QC=?

Solution:

Using BPT( Basic proportionality Theorem) or Thales Theorem:

✏ If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Therefore,

$\frac{AP}{PB} = \frac{AQ}{QC} \\ = > \frac{2.4}{4.8} = \frac{2.6}{QC} \\ = > 2.4(qc) = 2.6(4.8) \\ = > 2.4QC = 12.48 \\ = > QC = \frac{12.48}{2.4} \\ QC = > 5.2$

Hence, the value of QC is 5.2.

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$itzDopeGirl❣$