In Q2 are the two triangles similar?
Hi all,
Here goes the question:
In the diagram, AC,RQ and BP are parallel lines. AR=9cm,RQ=6cm,BP=8cm, and RB=3cm. Calculate the ratio of:
(i)area of triangle ARQ:area of trapezium RBPQ'
(ii)area of triangle BQR:area of triangle ARQ
(iii)area of triangle ABC:area of triangle BQR
Another question:
In the diagram, AB=5cm,BE=4cm,EC=2cm,CD=3cm and DA=1cm. If DE=xcm, using a geometrical argument, deduce the value of x.
Thanks in advance
Hello, AeroScizor!
We have: .
Hence: .
Then: .
Therefore: .
has a base of 3.
has a base of 9.
. . Their bases are in the ratio
They have the same height.
Therefore, their areas are in the ratio
We have: .
Their bases are in the ratio
Their heights are also in the ratio
Therefore, their areas are in the rato