#21)
<span>Using Pythagorean Theorem a^2 + b^2 = c^2
so
</span>a^2 = c^2 - b^2
x^2 = 42^2 - 38^2
x^2 = 1764 - 1444
x^2 = 320
x =√320
x = √(64 * 5)
x = 8√5
Hello noble user
Here is your answer
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<u>Complete Question:
</u>
An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side The third side is described in relation to one of the equal sides, so let x = the length of one of the equal sides. Which equation models the problem?
O x + x + (5 – 2 x) = 23
O x + x + (2 x – 5) = 23
O x + x + (2 x + 5) = 23
O X + (2 x - 5) + (2 x - 5) = 23
<u>Answer:
</u>
The equation models the problem is x + x + (2 x – 5) = 23
<u>Step-by-step explanation:</u>
Given:
An isosceles triangle has two sides of equal length, so let x = the length of one of the equal sides
.
The third side is 5 less than twice the length of one of the other sides. So, the third side is described as 2 x - 5.
The perimeter is the sum of the side lengths and given it as 23. Therefore, form the equation as below,
Perimeter = x + x + (2 x-5)
Given perimeter of triangle = 23 cm. Hence,
x + x + (2 x-5) = 23
The above equation models the given problem.
