Question

sketch an example of the type of triangle described. mark the triangle to indicate what information is known. if no triangle can be drawn, write
ot possible.\ 19) acute isosceles 20) right scalene 21) right isosceles 22) right equilateral 3) acute scalene 24) obtuse scalene right obtuse 26) equilateral

Explanation:

Step1: Recall triangle - type definitions

An acute triangle has all angles less than 90°. An isosceles triangle has two equal - length sides. A right triangle has one 90° angle. A scalene triangle has all sides of different lengths. An equilateral triangle has all sides and all angles equal (60° each). An obtuse triangle has one angle greater than 90°.

Step2: Sketch acute isosceles

Draw a triangle with all angles less than 90° and two sides of equal length. Mark the equal sides with the same number of hash - marks.

Step3: Sketch right scalene

Draw a triangle with one 90° angle (mark it with a square) and all sides of different lengths.

Step4: Sketch right isosceles

Draw a triangle with one 90° angle (mark it with a square) and two equal - length sides (mark the equal sides with the same number of hash - marks).

Step5: Analyze right equilateral

A right equilateral is not possible because an equilateral triangle has all angles equal to 60°, and a right triangle has one angle equal to 90°. Write "not possible".

Step6: Sketch acute scalene

Draw a triangle with all angles less than 90° and all sides of different lengths.

Step7: Sketch obtuse scalene

Draw a triangle with one angle greater than 90° and all sides of different lengths.

Step8: Analyze right obtuse

A right obtuse is not possible because a right triangle has one 90° angle and an obtuse triangle has one angle greater than 90°, and the sum of the interior angles of a triangle is 180°. Write "not possible".

Step9: Sketch equilateral

Draw a triangle with all sides of equal length (mark all sides with the same number of hash - marks) and all angles equal.

Answer:

1. Sketch a triangle with all angles < 90° and two equal - length sides.
2. Sketch a triangle with one 90° angle and all sides of different lengths.
3. Sketch a triangle with one 90° angle and two equal - length sides.
4. not possible
5. Sketch a triangle with all angles < 90° and all sides of different lengths.
6. Sketch a triangle with one angle > 90° and all sides of different lengths.
7. not possible
8. Sketch a triangle with all sides of equal length and all angles equal.