Question

10. What is an expression for the perimeter of the triangle?

11. What is an expression for the area of the triangle?
12. Think about values for x, y, and z that would make the following statements true. If you think these values exist, give an
example of them. If you think they do not exist, explain why.

a.
The perimeter and area are both rational numbers.

b.
The perimeter is an irrational number and the area is a rational number.

C.
The perimeter and area are both irrational numbers.​

Answer 1

See explanation, and comment for more details!

Explanation:

10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.

11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.

12.

a. x=3, y=4, z=5

b.
`x=√(2), y=√(2), z=2`

c.
`x= √(3), y=2, z=√(7)`

Hope this helps!