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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 rightangled 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 l class=

Respuesta :

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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