Answer:
The answer is "10.25"
Step-by-step explanation:
Please find the graph in the attachment:
In the given kite diagram the PT= TR so,
in [tex]\Delta QTR[/tex] we applying the Pythagoras theory:
[tex]\to QR^2=QT^2+TR^2\\\\\to 13^2=QT^2+8^2\\\\\to QT^2= 13^2-8^2\\\\\to QT^2= 169-64\\\\\to QT^2=105\\\\\to QT=\sqrt{105}\\\\\to QT= 10.2469508\\\\ \to QT= 10.25[/tex]