A. 1:B) Solve the following.
1) Draw /_ ABC = 115° construct its bisector,
2) ∆ABC ~ ∆POR if AB : PQ = 4:5, find A(ABC) :A(∆POR)
3) Do side 7cm, 24cm, 25cm form a right angle triangle. Give reason
4) What is the measure of
/_CAB? Why?
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Answer:
If a line through one vertex of a triangle divides the opposite side in the ratio of the other two sides, then the line bisects the angle at the vertex.
That is if
AC
AB
=
DC
BD
then ∠BAD=∠CAD
1)
AB=5cm
AC=10cm
BD=1.5cm
CD=3.5cm
AC
AB
=
10
5
=0.5 (1)
CD
BD
=
3.5
1.5
≈0.43 (2)
(1)
=(2)
Hence AD is not the bisector of ∠A of △ ABC
Step-by-step explanation:
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