a.

Draw an acute isosceles

a.

## Answer to Problem 1WE

It is an acute

### Explanation of Solution

Approach:

- If the two sides of triangle are same, then the triangle is known isosceles triangle.
- If the angle lies between 0 and 90 degree, then then angle is known as acute angle.
- If the angle lies between 90 and 180 degree, then the angle is known as obtuse angle.
- Summation of angles should be equal to 180 degree.
- If any one of the angle is 90 degree, then the triangle is known as right angle triangle.

Calculation:

So from the above approach we can draw the figure.

Triangle PQR is shown below,

Here, the sides PQ and PR are same.

Therefore, it is an acute isosceles triangle

b.

Draw a right isosceles triangle. If no triangle satisfy the condition, write not possible.

b.

### Explanation of Solution

Calculation:

Consider,

A triangle ABC is shown below,

In this triangle angle C is right angle.

The above triangle ABC satisfies the condition of a right isosceles triangle.

Therefore, it is a right isosceles triangle.

c.

Draw an obtuse isosceles triangle. If no triangle satisfy the condition, write not possible.

c.

### Explanation of Solution

Approach:

- Draw an obtuse isosceles triangle which satisfies the condition.
- Check the condition

Calculation:

Consider,

Triangle PQR is shown below,

In this, triangle an angle P is greater than

The above triangle PQR satisfies the condition of an acute isosceles triangle.

Therefore, it is an obtuse isosceles triangle

Chapter 3 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

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