Determine if there are zero, one, or two triangles for the following:
m<A=48*
a=10m
b=12m
and explain how you know
1 answer
There is zero triangle for the given measurements. We know this because the angle A is 48 degrees, which means it is less than 180 degrees. According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. However, with sides a=10m and b=12m, the sum (10+12=22) is less than the given third side of the triangle. Therefore, it is impossible to form a triangle with these measurements.
1 answer