Home
Class 12
MATHS
In triangle ABC, AB=6,AC=3sqrt6,angleB=6...

In triangle `ABC, AB=6,AC=3sqrt6,angleB=60^@" and " angle C=45^(@)`. Find length of side BC.

Text Solution

Verified by Experts

The correct Answer is:
`3+3sqrt3 `units
In the figure, `BC=BD+DC`

In triangle ADB,
`BD=ABcos60^(@)=6xx1/2=3`
In triangle ADC,
`CD=ACcos45^@=3sqrt6xx1/sqrt2=3sqrt3`
`:. BC=3+3sqrt3`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Concept Application Exercises 2.2|8 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Concept Application Exercises 2.3|4 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise example|10 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|2 Videos

Similar Questions

Explore conceptually related problems

In a right-angled triangle ABC, angleB=90^(@), angleA=30^(@) and AC = 20 cm. Determine the lengths of two sides BC and AB.

construct a triangle ABC with BC = 6 cm, angleB=60^(@) and AB = 5cm.

If in triangle ABC,angle A=60^@ , angle B=45^@ and a=2sqrt3 units then the value of b is

In a DeltaABC , the median to the side BC is of length 1/sqrt(11-6sqrt3) and it divides the angleA into angles 30^@ and 45^@ Find the length of the side BC.

In Delta ABC , right angle is at B,AB = 5cm and angle ACB =30^(@) Determine the lengths of the sides BC and AC.

(iii) In the right-angled triangle ABC, angle ABC=90^@ and AB=5 cm and BC=12 cm, then find its length of circum-radius.

In a triangle ABC the angle A=60^(@) and b:c = (sqrt(3)+1):2 . Find the other two angles B and C.

In triangle ABC , A=60^@,B=45^@ and a=2sqrt3 , then find b?

In triangle ABC, AB = (2a-1)cm, AC = 2sqrt(2a) cm, BC = (2a+1)cm, find angle BAC .

Construct a triangle ABC, in which angleB =60^(@),angleC=45^(@) and AB + BC + CA = 11 cm.