ABC is triangle right angled at B,AB=5 cm Angle ACB =30 degrees Find the length of BC and AC.
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Solution:-
ABC is a right triangle with ACB = 30°
So, AB/BC = tan 30°
⇒ 5/BC = 1/√3
⇒ BC = 5/√3 cm
By Pythagoras theorem
⇒ AB² + BC² = AC²
⇒ AC² = 5² + (5/√3)²
⇒ AC² = 25 + 75
⇒ AC² = √100
⇒ AC = 10 cm and BC = 5/√3
ABC is a right triangle with ACB = 30°
So, AB/BC = tan 30°
⇒ 5/BC = 1/√3
⇒ BC = 5/√3 cm
By Pythagoras theorem
⇒ AB² + BC² = AC²
⇒ AC² = 5² + (5/√3)²
⇒ AC² = 25 + 75
⇒ AC² = √100
⇒ AC = 10 cm and BC = 5/√3
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