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Maurinko [17]
3 years ago
11

The perimeter of a triangle is 53 in. The shortest side is 10 in. less than the longest side. The middle side is 19 in. less tha

n the combined lengths of the
shortest and longest sides. Find the lengths of the three sides.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

9514 1404 393

Answer:

  • shortest: 13 in
  • middle: 17 in
  • longest: 23 in

Step-by-step explanation:

Let s represent the shortest side. Then the longest side is (s+10) and the middle side is (s+(s+10)-19). The perimeter is the sum of the sides.

  s + (2s-9) +(s+10) = 53

  4s +1 = 53

  s = (53 -1)/4 = 13

The side lengths are ...

  • shortest: 13 in
  • middle: 17 in
  • longest: 23 in
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Flura [38]

The length of GE is 10 units

Explanation:

Given that the length of XY = 5 units and YZ = 4.6 units

<u>The length of GE:</u>

We need to determine the length of GE

From the figure, we can see that ZY bisects GE and XY bisects EF.

The lines ZY and XY both bisect GF.

The midpoint theorem states that "the line segment connecting the midpoints of  two sides of a triangle is parallel to the third side and is congruent to one half of the third side".

Since, we have,

EX = XF and X is the midpoint of EF

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Since, XY is the line segment that connects the midpoints of the two sides of the triangle.

Applying the midpoint theorem, we have,

GE = 2XY

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Answer:

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Step-by-step explanation:

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To find the curvature function we have to insert the values above into the given formula

K(x)  = \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }

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