$WXYZ$ is a parallelogram. The point $S$ lies on the line $YZ$. The line $WY$ cuts the line

Question

$WXYZ$ is a parallelogram. The point $S$ lies on the line $YZ$. The line $WY$ cuts the line $XS$ at $A$. $WX = 16\text{ cm}$, $XA = 8\text{ cm}$ and $ZS = 10\text{ cm}$. Triangle $WAX$ is similar to triangle $YAS$. Find the length of $AS$. [2] Given that the area of the parallelogram is $168\text{ cm}^2$, find the area of $WZSX$. [3]

Accepted Answer

(a) $AS=3\text{ cm}$. (b) $136.5\text{ cm}^2$.

Proofs in Plane Geometry - Similarity

Proofs in Plane Geometry - Similarity

Solution:

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