Chapter 11.2, Problem 28HP

a.

To determine

To find: Sketch each triangle.

Explanation of Solution

Given information:

We need to draw acute scalene triangle

  

Angles are

  $\begin{array}{l}\angle A={50}^0\\ \angle B={60}^0\\ \angle C={70}^0\end{array}$

As all three angles are different and less than ${90}^0$

So, above triangle is acute scalene triangle

b.

To determine

To find: Sketch each triangle.

Explanation of Solution

Given information:

We need to draw obtuse and not scalene triangle

  

Angles are

  $\begin{array}{l}\angle A={30}^0\\ \angle B={120}^0\\ \angle C={30}^0\end{array}$

As two angles are congruent and one of the angle is greater than ${90}^0$

So, above triangle is obtuse isosceles triangle

c.

To determine

To find: Sketch each triangle.

Explanation of Solution

Given information:

We need to draw right equilateral triangle

It is not possible to draw a right equilateral triangle.

Congruent sides have corresponding congruent angles and a triangle cannot have more than one right angle.

As we need equilateral right triangle as all three angles cannot be ${90}^0$ .

So, it is not possible to draw a right equilateral triangle.

d.

To determine

To find: Sketch each triangle.

Explanation of Solution

Given information:

We need to draw obtuse equilateral triangle

It is not possible to draw a obtuse equilateral triangle.

Congruent sides have corresponding congruent angles and a triangle cannot have more than one obtuse angle.

As we need obtuse equilateral triangle as all three angles cannot be greater than ${90}^0$ .

So, it is not possible to draw an obtuse equilateral triangle.