Question

Can you draw an isosceles triangle with only one 80 degree angle. Is this the only possibility or can another triangle be drawn that will meet these conditions?

Answer 1

Answer:

The correct answer is yes, we can draw an isosceles triangle with only one 80° angle. NO this is not the only possibility.

Step-by-step explanation:

A triangle is a three sided figure. There are three types of triangles: Equilateral, Isosceles and Scalene triangle. The sum of angles in a triangle is 180°.

If all sides have equal length then it is an equilateral triangle. All angles of this triangle are equal.

If two sides are equal then it is an isosceles triangle. Two opposite angles are equal.

If none of the angles and sides are equal then we call it a scalene triangle.

Given one angle of the triangle is 80°.

There exists two possibilities. One, 80° is the equal angle and 80° is not the equal angle.

Required Case : 80° is not the equal angle, i.e. only one 80° angle.

We are to draw an isosceles triangle (say ABC) with one angle say ∠A as 80°.

Other two angles (∠B and ∠C) are 50° each as the other two angles are supposed to be equal. ($\frac{180-80}{2}$°).

Now let us consider side AB and AC be of length say a. These two sides are equal.

Thus now we have successfully constructed an isosceles triangle with only one 80° angle.

We can get infinitely many isosceles triangle by just varying the length of the equal side.