Question

In Δ ABC, AB = 6√3 cm, AC = 12 cm, BC =6cm. Find measure of ∠C.​

Answer 1

Answer:

in ∆ ABC

AB =6√3

by 30-60-90° theorem

angle opposite to 60° is√3/2 of hypotenuse

> angle c=60°

Answer 2

Answer:

angle c is 60 degrees

Step-by-step explanation:

this is a right-angled triangle with AC as hypotonus

we infer this by

$AC^{2} =AB^{2} +BC^{2}$

$(6\sqrt{3} )^{2} +6^{2} =12^{2}$

the right angle is formed at B

sin∅=(opposite/hypotonus)

sin∅=$(6\sqrt{3}/12)$

sin∅=$\sqrt{3} /2$

∅=60

angle c is 60 degrees