Question

geometry use the triangle shown. perimeter = 42 feet a. write a formula for the perimeter p of the triangle. p = b. solve the formula for b. b = c. use the new formula to find b when a is 10 feet and c is 17 feet. b = ft

Explanation:

Step1: Recall perimeter formula

The perimeter of a triangle is the sum of its side - lengths. So, $P=a + b + c$.

Step2: Solve for $b$

Subtract $a$ and $c$ from both sides of the equation $P=a + b + c$. We get $b=P - a - c$.

Step3: Substitute values

Given $P = 42$ feet, $a = 10$ feet, and $c = 17$ feet. Substitute these values into the formula $b=P - a - c$. Then $b=42-10 - 17$.
$b=15$ feet.

Answer:

a. $P=a + b + c$
b. $b=P - a - c$
c. $15$