Question

in triangle abc if angle b=30°,ab=11cm and bc=60cm,find ac​

Answer 1

Measure of side AC is 50.77 cm

Step-by-step explanation:

In the figure attached, triangle ABC shows

∠ABC = 30°

Side AB = 11 cm

Side BC = 60 cm

We have to find the length of AC.

By cosine rule in the ΔABC.

$b^{2}=a^{2}+c^{2}-2a.c.cosB$

Here AC = b

BC = a and side AB = c

Now we plug in the values of a, b, c and ∠B in the formula

$b^{2}=(60)^{2}+(11)^{2}-2(60)(11).cos30$

b² = 3600 + 121 - 1320×$\frac{\sqrt{3}}{2}$

b² = 3721 - 1143.15

b = √(2577.86)

b = 50.77 cm

Learn more about the cosine property of a triangle from

https://brainly.in/question/10699832