Question

find the value of v.
perimeter = 15 feet
v =
feet

Explanation:

Step1: Recall perimeter of triangle

Perimeter of a triangle is the sum of its three sides. Let the sides be \( v \), \( 5 \) ft, and \( 5 \) ft. So, Perimeter \( = v + 5 + 5 \).

Step2: Set up equation

Given perimeter is \( 15 \) feet. So, \( v + 5 + 5 = 15 \). Simplify left side: \( v + 10 = 15 \).

Step3: Solve for \( v \)

Subtract \( 10 \) from both sides: \( v = 15 - 10 \). So, \( v = 5 \)? Wait, no, wait. Wait, maybe it's an isosceles triangle? Wait, no, wait, maybe I misread. Wait, the two sides are 5 ft each? Wait, no, wait, the perimeter is 15. So \( v + 5 + 5 = 15 \). Then \( v = 15 - 10 = 5 \)? Wait, but that would make it equilateral? Wait, maybe the triangle has two sides 5 and one side \( v \). Wait, let's check again. Perimeter \( P = a + b + c \). Here, two sides are 5 ft, so \( P = v + 5 + 5 = v + 10 \). Given \( P = 15 \), so \( v + 10 = 15 \). Subtract 10: \( v = 15 - 10 = 5 \)? Wait, but then all sides are 5, equilateral. But maybe the triangle is isosceles with two sides 5 and base \( v \)? Wait, no, the diagram shows \( v \) as one side, and two sides 5. So the calculation is \( v = 15 - 5 - 5 = 5 \). Wait, but that seems odd. Wait, maybe I made a mistake. Wait, no, perimeter is sum of all sides. So if two sides are 5, then \( v = 15 - 5 - 5 = 5 \). So \( v = 5 \). Wait, but let's do it again.

Wait, maybe the triangle has sides \( v \), 5, 5. So perimeter is \( v + 5 + 5 = 15 \). So \( v = 15 - 10 = 5 \). So \( v = 5 \).

Answer:

5