In a triangle ABC AB:BC=3:4 BC :AC =5:4A) If AB=30 degre .what is the

1.	In a triangle ABC AB:BC=3:4 BC :AC =5:4A) If AB=30 degre .what is the length of BCB ) what is AB:BC:AC
Answer» Answer: (A) The LENGTH of BC 40° (B) AB : BC : CA = 15 : 20 : 16 Step-by-step explanation: Given as : For any TRIANGLE ABC The RATIO are as AB : BC = 3 : 4 BC : AC = 5 : 4 Or, $\dfrac{AB}{BC}$ = $\dfrac{3}{4}$ × $\dfrac{5}{5}$ So, $\dfrac{AB}{BC}$ = $\dfrac{15}{20}$ And $\dfrac{BC}{AC}$ = $\dfrac{5}{4}$ × $\dfrac{4}{4}$ So , $\dfrac{BC}{AC}$ = $\dfrac{20}{16}$ Therefor the ratio can be written as AB : BC : CA = 15 : 20 : 16 Let The length of AB = 15 x The length of BC = 20 x The length of CA = 16 x A/Q AB = 30° Or, 15 x = 30° ∴ x = $\dfrac{30}{15}$ i.e x = 2° Put the value of x in BC value i.e The length of BC = 20 × 2° = 40° Hence, (A) The length of BC 40° And (B) AB : BC : CA = 15 : 20 : 16 Answer