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

Question

asked Apr 26, 2022 216k views

1 Answer

Kittu · Answer 1 · 2022-04-30T22:55:25+0000

Answer:

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.