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: Write the formula for the perimeter of a triangle

The perimeter \(P\) of a triangle is the sum of the lengths of its sides. If the sides are \(a\), \(b\), and \(c\), then \(P=a + b+ c\).

Step2: Solve the formula for \(b\)

Starting with \(P=a + b + c\), subtract \(a\) and \(c\) from both sides.

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Step3: Find \(b\) when \(a = 10\) feet, \(c = 17\) feet and \(P = 42\) feet

Substitute \(P = 42\), \(a = 10\), and \(c = 17\) into the formula \(b=P-(a + c)\).

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Answer:

a. \(P=a + b + c\)
b. \(b=P-(a + c)\)
c. \(b = 15\) ft