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Luden [163]
1 year ago
10

A triangle has two sides measuring 8. 5 cm and 15 cm. What is the greatest whole number length possible for the third side? expl

ain.
Mathematics
1 answer:
NikAS [45]1 year ago
3 0

The greatest whole number possible length for the given measures of triangle is 23 cm.

As given in the question,

Measure of two side-length of a given triangle are :

Let 'x' be the side length = 8.5cm

And 'y' be the side length = 15cm

'z' be the side length of the third side of a triangle.

Sum of two sides is greater than third side and difference of two sides is smaller than the third side.

y - x < z < y + x

⇒ 15 - 8.5 < z < 15 + 8.5

⇒ 6.5 cm < z < 23.5cm

Greatest whole number representing length of the third side of a triangle is  less than 23.5 .

⇒ z = 23cm

Therefore, the length of the third side of a triangle represented by greatest whole number is equal 23cm.

Learn more about length here

brainly.com/question/8552546

#SPJ4

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Follows are the solution to this question:

Step-by-step explanation:

95 \% \ the confidence level for z:

\alpha = 1 - 95 \% \\\\

   = 1 - 0.95 \\\\        = 0.05

\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \  \frac{\alpha}{2} = Z_{0.025} = 1.96

Calculating the Margin of error:

E =   Z\  \frac{\alpha}{2}  \times ( \frac{\sigma}{\sqrt{n}})

   = 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980

The population means estimate a 95 % confidence interval is:

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Given right triangle A w/a hypotenuse length of x+4 and a leg of x, and right triangle B, w/ a hypotense length of 3y and a leg
alex41 [277]

Answer:

Value is x=8 and y=4

Step-by-step explanation:

Given : A right triangle 'A'  hypotenuse length of x+4 and a leg of x,

and right triangle 'B' hypotenuse length of 3y and a leg length of y+4

To find : For what values of x and y are the triangles congruent by HL?  

Solution :

Triangle A,

Hypotenuse: x+4

Leg: x

Triangle B,  

Hypotenuse: 3y

Leg: y+4  

Since the triangle A and B are congruent so, the sides of triangles are equal.

x+4=3y    (Hypotenuse are equal)  ..........[1]

and x=y+4   (Legs are equal)   ..........[2]

Solving the equation of system,

Put the value of x from [2] in [1],

x+4=3y

y+4+4=3y

8=2y

y=4

Substitute y in [2],

x=y+4

x=4+4

x=8

Therefore, The value of x=8 and y=4

Verifying for the values of x and y:

Triangle A,

Hypotenuse: x+4=8+4=12

Leg: x=8

Triangle B,  

Hypotenuse: 3y=3(4)=12

Leg: y+4=4+4=8

Both hypotenuses and both legs are equal hence they are congruent.

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