Kite qrst has a short diagonal of qs and a long diagonal of rt. the diagonals intersect at point p. side qr= 5 m and diagonal qs= 6m. find the length of segment rp

Given the statement: Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P.

Properties of Kite:

It is given that: Side QR = 5m and diagonal QS = 6m.

Then, by properties of kite:

Substitute the value of QS we get QP;

= 3 m

Now, in right angle

Using Pythagoras theorem:

Substitute the given values we get;

or

Subtract 9 from both sides we get;

Simplify:

Therefore, the length of segment RP is, 4m

Step-by-step explanation:

Firstly, we will draw diagram  for kite

we are given

QR=5m

QS=6m

we know that QPR is a right angled triangle

so, QP=PS

now, we can use Pythagoras theorem

now, we can plug values

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