Question

If in triangle PXY, XY || QR I(PQ) = 3 units l(PR) = 4 units, l(YR) = 5 units. Find (PX).​

Answer 1

If you want proof you can compare the ratios PQ/QX =PR/RY.

3/3.7= 4/5

0.8. = 0.8

If the ratios are equal then the answer is absolutely correct...

Hope this helps you mate........

Please mark it as brainliest.......!!!!!!!!!

Answer 2

PX=6.75 units.

Step-by-step explanation:

To Find

PX, which is one side of the triangle PXY containing the point Q.

Theorem Used

Basic Proportionality Theorem(BPT).

Given

Triangle PXY has a parallel line from the point Q, which lies on the line PX, to the point R which lies in the line PY.

PQ= 3units

PR= 4units

YR= 5 units

QX=?

we need to know QX first because PX= PQ+QX, here the value of PQ is known so after finding QX we can know the value of PX.

Now, we know from BPT that if a line is drawn parallel to one side of the triangle then the other two sides are divided in the same ratio.

Here we have line QR||XY. Point Q divides the line PX into PQ and QX. Also, point R divides the line PY into PR and RY.

So, according to BPT, we can write,

$\frac{PQ}{QX}=\frac{PR}{RY}$

Now, putting the values we have,

$\frac{3}{QX}=\frac{4}{5}$

taking 3 to the denominator on the Right Hand Side,

$\frac{1}{QX}=\frac{4}{5X3}$

multiplying and taking reciprocal on both sides,

$QX=\frac{15}{4}$

On solving we get,

$QX=3.75$

After the value of QX, we can easily find PX.

So, PX= PQ+QR

       =>PX=3+3.75

      =>PX=6.75