Question

Calculate the side lengths a and b to two decimal places.

Answer 1

a=10.92

b=14.52

Explanation:

A P E X

Answer 2

`a=10.92 units`

`b=14.51 units`

Explanation:

We are given that c=6 units

`\angle A=43^(\circ)`

`\angle B=115^(\circ)`

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

`\angle A+\angle B+\angle C=180`

Substitute the values then we get

`43+115+\angle C=180`

`158+\angle C=180`

`\angle C=180-158=22^(\circ)`

sine law:
`(a)/(sin A)=(b)/(sin B)=(c)/(sin C)`

`(a)/(sin 43^(\circ))=(6)/(sin 22^(\circ))`

`a=(6)/(sin 22^(\circ))* sin 43^(\circ)`

`a=10.92 units`

`(b)/(sin 115^(\circ))=(6)/(sin 22^(\circ))`

`b=(6)/(sin 22^(\circ))* sin 115^(\circ)=14.51`

`b=14.51 units`