Answer:
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:
- The diagonals are perpendicular
- Two disjoint pairs of consecutive sides are congruent by definition of kite
- One diagonal is the perpendicular bisector to the other diagonal.
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
