Question

In triangle ABC, m angle C=30°,m angle B=90°.If length (AB)= 8cm, find length (BC) and length (AC).​

Answer 1

Answer:

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i) In △ABC,∠B=90

o

∴ By Pythagoras theorem,

AC

2

=AB

2

+BC

2

AC

2

=6

2

+8

2

∴AC

2

=36+64=100

∴AC=10cm

ii) In △ABC,∠B=90

o

∴ By Pythagoras theorem,

AC

2

=AB

2

+BC

2

13

2

=AB

2

+5

2

∴AB

2

=169−25=144

∴AB=12cm