Question

In triangle abc angle b is equal to 30 degree and ab is equal to 11 cm and bc is equal to 60 cm find ac ​

Answer 1

AC = 50.77 cm

Step-by-step explanation:

here ,

$\angle ABC = 30 ^\circ$

AB = 11 cm

BC = 60 cm

we have to find the length of the AC

by cosine rule

b² =a²+c² - 2ac. cos B

here AC = b

BC = a and AB = c

now

b²= 60²+11²- 2(60)(11). cos 30

b²= 3600 +121 - 1320 cos 30

$b^2 = 3721 - 1320 \times \frac{\sqrt{3} }{2} \\b^2 = 3721 - 1143. 15\\b = \sqrt{2577.86}\\ b = 50.77 cm$

hence AC = b = 50.77 cm

#Learn more:

Construct triangle abc in which ac=4cm,angle a=70 degrees and angle c=55 egrees,what type of triangle is this.

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