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The right-angled triangle ABC has an angle BAC of 30º. Taking the length of BC to be one unit:
a. work out the length of AC
b. use Pythagoras' theorem to obtain the length of AB

The right-angled triangle ABC has an angle BAC of 30º. Taking the length of BC to be one unit: a. work out the length of AC b. use Pythagoras' theorem to obtain class=

Answer :

Answer:

a) [tex]\sqrt{3}[/tex]

b) 2

Step-by-step explanation:

a) tan 30 = opposite side / adjacent side 1/[tex]\sqrt{3}[/tex] so AC is [tex]\sqrt{3}[/tex]

b)3

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]1^{2}[/tex] +[tex]\sqrt{3} ^{2}[/tex] = [tex]c^{2}[/tex]

1 + 3 = [tex]c^{2}[/tex]

4 = [tex]c^{2}[/tex]

[tex]\sqrt{4}[/tex] =[tex]\sqrt{c^{2} }[/tex]

2 = c

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