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# two side of a triangle are √3 - 1 and √3 + 1 units and their included angle is 60° . solve the triangle . ?

10 years ago

## Answers : (2)

419 Points

Dear Arunav

Cos60=(√3 +1)2 + (√3 -1)2 -a2/2(√3 +1)(√3 -1)

solving a=√6

now use Cos formula to find out other angles like this

All the best.

AKASH GOYAL

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10 years ago
509 Points

let a,b are 31/2-1 , 31/3+1 & C = 60o        then

cosC = a2+b2-c2/2ab

ab = a2+b2-c2

3-1 + 6+2 -c2

c2 = 6

c = 61/2..................................1

now using a/sinA = b/sinB = c/sinC =k

sinA = asinC/c = (31/2-1/2*21/2)

A = 15o                ..............................2

A+B+C = 180

B + 60+15 = 180

B = 105o..........................3

10 years ago
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