Question

The quadrilateral below is a kite. Round your answer to the nearest tenth. If QR=13 and PT=8, find QT

Answer 1

The answer is "10.25"

Explanation:

Please find the graph in the attachment:

In the given kite diagram the PT= TR so,

in
`\Delta QTR` we applying the Pythagoras theory:

`\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=√(105)\\\\\to QT= 10.2469508\\\\ \to QT= 10.25`