Question

In an isosceles triangle, the legs can be represented by the expression 6x + 8 and the base can be represented by 2x – 6. Find the perimeter of this triangle by adding all three lengths of the triangle. Suppose the height of the triangle can be expressed as 4x + 2. Find the area of the triangle.

Answer 1

Answer:

x = 3.5; perimeter = 59; area = 8

Step-by-step explanation:

isosceles means the two legs equal each other so use same expression later on

6x + 8 = 2x - 6

6x - 2x = -8 - 6

4x = -14

x = 3.5

plug x value in the first expression to find the two sides that are equivalent to each other

6(3.5) + 8

21 + 8

29

plug x value into the second expression (the base)

2(3.5) - 6

7 - 6

1

perimeter = side 1 + side 2 + side 3

perimeter = 29 + 29 + 1

perimeter = 59

area = base × height/2 or bh/2

first plug in x value into height expression

4x + 2

4(3.5) + 2

14 + 2

16

area = 1 × 16/2

area = 16/2

area = 8