Question

In triangle PQR measured of angle P 90, S is midpoint of the side QR. if QR is 10 cm, what is the length of seg PS?​

Answer 1

Answer:

SUBSTITUTING

Step-by-step explanation:

As per Pythagorean theorem

PT  

2

=PQ  

2

+QT  

2

....(in triangle QPT)

⇒QT  

2

=PT  

2

−PQ  

2

 

And PR  

2

=PQ  

2

+QR  

2

 ( in the triangle APR and given T is the mide point QR then QR=2QT) put value  

⇒PR  

2

=PQ  

2

+(2QT)  

2

 

⇒PR  

2

=PQ  

2

+4QT  

2

 

⇒PR  

2

=PQ  

2

+4(PT  

2

−PQ  

2

)

=PQ  

2

+4PT  

2

−4PQ  

2

 

⇒PR  

2

=4PT  

2

−3PQ  

2

.