Answered

IDNLearn.com offers a unique blend of expert answers and community-driven knowledge. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

Part III: Change the length of one or two segments in Part II to form each kind of triangle.

(3 points, 1 point each)

a. Scalene triangle
b. Equilateral triangle
c. Isosceles triangle

[tex]\[ AB = \][/tex]
[tex]\[ AB = \][/tex]
[tex]\[ AB = \][/tex]

[tex]\[ BC = \][/tex]
[tex]\[ BC = \][/tex]
[tex]\[ BC = \][/tex]

[tex]\[ AC = \][/tex]
[tex]\[ AC = \][/tex]
[tex]\[ AC = \][/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's determine the side lengths for each type of triangle:

a. Scalene Triangle: A scalene triangle has all sides of different lengths.

To form a scalene triangle:
- [tex]\( AB = 3 \)[/tex]
- [tex]\( BC = 4 \)[/tex]
- [tex]\( AC = 5 \)[/tex]

In this case, all three sides are of different lengths, thus forming a scalene triangle.

b. Equilateral Triangle: An equilateral triangle has all sides of equal lengths.

To form an equilateral triangle:
- [tex]\( AB = 6 \)[/tex]
- [tex]\( BC = 6 \)[/tex]
- [tex]\( AC = 6 \)[/tex]

Each side is equal, satisfying the condition for an equilateral triangle.

c. Isosceles Triangle: An isosceles triangle has two sides of equal length and the third side of a different length.

To form an isosceles triangle:
- [tex]\( AB = 7 \)[/tex]
- [tex]\( BC = 7 \)[/tex]
- [tex]\( AC = 5 \)[/tex]

Here, two sides ([tex]\( AB \)[/tex] and [tex]\( BC \)[/tex]) are of equal length, and the third side ([tex]\( AC \)[/tex]) is different, forming an isosceles triangle.

In conclusion, the lengths for each type of triangle are:
- For the scalene triangle: [tex]\( AB = 3 \)[/tex], [tex]\( BC = 4 \)[/tex], [tex]\( AC = 5 \)[/tex]
- For the equilateral triangle: [tex]\( AB = 6 \)[/tex], [tex]\( BC = 6 \)[/tex], [tex]\( AC = 6 \)[/tex]
- For the isosceles triangle: [tex]\( AB = 7 \)[/tex], [tex]\( BC = 7 \)[/tex], [tex]\( AC = 5 \)[/tex]

These values ensure that each triangle fits its respective classification.
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.