Math, asked by sugarkookie128, 19 days ago

In PQR,  Q = 90° ,  P = R =45° . If l (PR) = 8cm. Find l (PQ) and l (QR).

Answers

Answered by humaisajamil9751
0

Answer:

It is given that

PQ=8cm and QR=6cm

∠PQR=90  

 

Using Pythagoras Theorem

PR  

2

=PQ  

2

+QR  

2

 

Substituting the values

PR  

2

=8  

2

+6  

2

 

By further calculation

PR  

2

=64+36=100

PR=√100

So we get

PR=10cm

Step-by-step explanation:

Answered by veerapushkar
0

Answer:

 \sqrt{32}  \: cm

Step-by-step explanation:

According to Pythagoras theorem,

{hypotenuse }^{2}  =  {side}^{2}  +  {side}^{2}

hypotenuse = PR = 8cm

as the given right angle is isocles triangle, both sides are of equal lengths.

so \:  {8}^{2} = 2 {side}^{2}  \\  {8}^{2} = 2 {a}^{2}   \\  {a}^{2}  =  \frac{64}{2}  \\ a =  \sqrt{32}

where a = PQ = QR

Similar questions