Question

If QR=13 and PT=8, FIND QT of the rhombus​

Answer 1

Answer:

$|QT|=10.2$ units.

Step-by-step explanation:

The adjacent sides of a kite are equal.

$\Rightarrow |PQ|=13=|QR|$

Triangle PQT is a right triangle.

From the Pythagoras Theorem;

$|QT|^2+|PT|^2=|PQ|^2$

$|QT|^2+8^2=13^2$

$|QT|^2+64=169$

$|QT|^2=169-64$

$|QT|=\sqrt{104}$

$|QT|=2\sqrt{26}$

$|QT|=10.2$ units.