Question

in
the figure the line
QR
is Prallel to the line
PS
and angle PQR=90°.
if
area
of the triangle QSR is 15 cm²
a what is the area
of traingle PQR?
what is the
lenght of the line PQ?
​

Answer 1

Answer:

where is figure.......

...

Answer 2

Answer:Answer:

Given: ΔPQR is right angled triangle where Q is right angle

         QS ⊥ PR

         QM bisect the ∠PQR

To prove:

In ΔPQR,

QM bisector of ∠PQR

  (Property of angle bisector of a triangle)

..............(1)

Again in ΔPQR

QS ⊥ PR ⇒ ΔPQR is similar to ΔPSQ is similar to ΔRSQ

in ΔPSQ and ΔPQR

[tex\frac{PQ}{PR}=\frac{PS}{PQ}[/tex]  (both triangles are similar)

.........(2)

Similarly form  ΔPSQ and ΔPQR

..............(3)

From (1) , (2) & (3)