Question

*Will be reported if answering random answers for points*

The two shorter sides of a triangle are the same length. The length of the longer side is 5 m longer than each of the shorter sides. The perimeter of the triangle is 29 m. Write and solve an equation to determine the length of the longest side of the triangle. Explain each step you perform.

Answer 1

3 sides of the triangle  x,y,z

2 sides are equal x=y

z =x+5 longest side is 5 more than the shortest side

P = x+y+z  perimeter

P=29 perimeter is 29

29 = x+y+z

29 = x+ x + x+5  ( substituting y=x and z=x+5)

combine like terms

29 = 3x+5

subtract 5 from each side

24 = 3x

divide each side by 3

24/3 = 3x/3

8 =x

to find the longest side z

z = x+5

substitue x=8

z = 8+5

z = 13 m

Answer z=13