Question

Find all solutions for a triangle with a = 14, b= 12, and B = 90°.

a)A = 90°; C = 30°; c= 10
b)A = 60°; C = 30°: c = 10
c)A = 90°; C = 60°; c = 12
d)no solutions

Answer 1

No solution.

Explanation:

Given

`a = 14; b= 12; B = 90^\circ`

Required

Find all possible solutions

If
`B = 90^\circ`, then the triangle is right-angled and the hypotenuse is at b

Given that
`a = 14; b= 12;`

This implies that a > b

In a right-angled triangle, the hypotenuse (side b) is the longest.

Since this is not true for the given sides, then the triangle has no solution.