Question

Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 4, and b = 10.

0
1
2

Answer 1

no solution so it's 0

Explanation:

Answer 2

Option A is the correct answer

Explanation:

We have sine formula
`(a)/(sinA)=(b)/(sinB)=(c)/(sinC)`

Here A = 30°, a = 4, and b = 10

`(4)/(sin30)=(10)/(sinB)=(c)/(sinC)\\\\sin B=1.25`

Value of sine cannot be greater than 1.

So these combination is not possible.

We cannot form a single triangle with these sides and angle.

Option A is the correct answer