Optional extension In right-angled triangle $UVW$, points $M,N$ lie on $UV,UW$ and \(MN\parall

Question

Optional extension

In right-angled triangle $UVW$, points $M,N$ lie on $UV,UW$ and $MN\parallel VW$. The labelled lengths are shown. If trapezium $MNVW$ has area $126\text{ cm}^2$:

show that $5x^2+23x-240=0$[2]
find $x$[2]
find the perimeter of $UVW$.[2]

Accepted Answer

(a) $5x^2+23x-240=0$ (b) $x=5$ (c) $60\text{ cm}$

Trapezium inside a right triangle

Trapezium inside a right triangle

Solution:

Solution locked