Determine if there are zero, one, or two triangles for the following:

Answer with explanation:

1.

In Δ ABC

 m ∠A=48°

a=10 m

b=12 m

Using Sine Law

So, Angle C can be obtained by using angle sum property of triangle.

So,This is one kind of triangle, having measure of three Angles are , 48°, 65°,67°.

2.

≡≡Now, we will use cosine law to find if there is another triangle having measure of one angle 48°.

Sum of two sides of triangle should always be greater than third side.

So, c=3.50

and, c= 12.58

Triangle of two type is possible having dimension, a=10 m, b=12 m, c=12.58 m and  a=10 m, b=12 m, c=3.50 m.

But,when side c=12.58 m, then ∠C=67°.

So, There are two triangles possible in this case,out of which one is Congruent with triangle obtained in case 1.

So,There are two distinct Triangles.

⇒⇒⇒Two Triangles

it is only things thain can be deafeated

step-by-step explanation: