Question

How many unique triangles can be drawn with the set of three measurements shown below?

132 angle

3 inch side length

3 inch side length

A. no triangles
B. exactly one triangles
C. exactly two triangles
D. more than two triangles​

Answer 1

A. no triangles.

Explanation:

The third side of length x can be found by the Cosine rule :

x^2 = 3^2 + 3^2 - 2*3*3 cos 132

x^2 = 30.044

x = 5.45 inches.

Since 5.45 inches is less than 3 + 3 ( the sum of the 2 given sides) then a triangle cannot be drawn.