In the diagram, $\angle ABC = \angle BCD = 90^\circ$. Given that $AB = 8$ cm, $CD = 15$ c

Question

In the diagram, $\angle ABC = \angle BCD = 90^\circ$. Given that $AB = 8$ cm, $CD = 15$ cm, $AD = 27$ cm and $BD = (3x - 4)$ cm, calculate the value of $x$, giving your answer correct to $2$ decimal places. A right trapezium ABCD with AB and CD perpendicular to BC, and diagonal BD.

Accepted Answer

$x=11.36$ (2 d.p.)

Pythagoras’ Theorem - Applications of Pythagoras’ Theorem

Pythagoras’ Theorem - Applications of Pythagoras’ Theorem

Solution:

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