MATH SOLVE

2 months ago

Q:
# The Dittany family's vegetable garden is shaped like a scalene triangle. Two of the sides measure 6 feet and 10 feet. Which could be the length of the third side, in feet?Question 2 options:181696

Accepted Solution

A:

Answer:The length of the third side could be 9 ftStep-by-step explanation:we know thatThe Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third sidesoIn this problemLetc-----> the length of the third side, in feetApplying the Triangle Inequality Theorem1) [tex]6+10>c[/tex] -------> [tex]c<16\ ft[/tex] 2) [tex]c+6>10[/tex] -----> [tex]c>4\ ft[/tex] soThe length of the third side must be greater than 4 ft and less than 16 ftRemember thatThe scalene triangle has three different sidesthereforeThe length of the third side could be 9 ft