Let x units be the length of the shortest side of the triangle.
Perimeter of triangle = 2(x + 1) +x = 3x + 2
Perimeter of square = 4(x - 2) = 4x - 8
Equating the two expressions for perimeters, we get:
3x + 2 = 4x - 8
The solution is: x = 10
The answer is 10 units.
Answer:
UV=25 units
Step-by-step explanation:
we know that
UW=UV+VW -----> by addition segment postulate
substitute the given values
4x+10=5x+5
solve for x
5x-4x=10-5
x=5
Find the value of UV
UV=5x
substitute the value of x
UV=5(5)=25 units
LA = perimeter of base x height
Use Pythagorean theorem to find the base
4^2 + 6^2 = 52
Sq root of 52 is 7.2111...
4+6+7.2 = 17.2
17.2 x 8
137.6 is your answer
-2 ≤ x < 8 is the answer.
