In the diagram, $ABC$ is an isosceles triangle, $\angle AKB = \angle BCT = 90^\circ$. Given that

Question

In the diagram, $ABC$ is an isosceles triangle, $\angle AKB = \angle BCT = 90^\circ$. Given that $AB = AC = 12\text{ cm}$, $AK = 7\text{ cm}$, $CT = 8\text{ cm}$ and $BT = (2x + 3)\text{ cm}$. Calculate the value of $x$, giving your answer correct to $2$ decimal places.

Accepted Answer

$x=9.04$ (2 d.p.)

Pythagoras’ Theorem - Applications of Pythagoras’ Theorem

Pythagoras’ Theorem - Applications of Pythagoras’ Theorem

Solution:

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