Question

the diagonals of rectangle qrst intersect at p. given that ( mangle pts = 34^circ ) and ( qs = 10 ), find ( rp ).

( rp = square )

Explanation:

Step1: Recall properties of rectangle diagonals

In a rectangle, the diagonals are equal in length and bisect each other. So, \( QS = RT \) and \( PQ = PS = PR = PT \).

Step2: Find the length of \( RP \)

Given \( QS = 10 \). Since the diagonals bisect each other, \( RP=\frac{1}{2}QS \) (because \( PR \) is half of the diagonal \( RT \), and \( RT = QS \)).

Substitute \( QS = 10 \) into the formula: \( RP=\frac{1}{2}\times10 = 5 \).

Answer:

\( 5 \)