AsiaDeas2043 AsiaDeas2043
  • 14-02-2021
  • Mathematics
contestada

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

Respuesta :

codiepienagoya codiepienagoya
  • 15-02-2021

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]

Ver imagen codiepienagoya
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