Question

the perimeter of the triangle shown is 17x units. the dimensions of the triangle are given in u
15 units
15 units
7x units
which equation can be used to find the value of x?
d. 17x = 22 + 15x
b. 17x = 30 + 7x
c. 17x = 7 + 30x
a. 17x = 15 + 22x

Explanation:

Step1: Recall 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 of the triangle are \(a\), \(b\), and \(c\), then \(P=a + b + c\).

Step2: Identify the side lengths of the given triangle

Here, \(a = 15\), \(b = 15\), and \(c=7x\). The perimeter \(P = 17x\).

Step3: Calculate the sum of the side lengths

\(a + b=15 + 15=30\). Then, using the perimeter formula \(P=a + b + c\), we substitute the values: \(17x=30 + 7x\).

Answer:

B. \(17x = 30+7x\)