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Which statements are true about triangle XYZ? Select three options.XY measures units.
YZ measures units.
ZX measures units.
XYZ is a right triangle.
XYZ is a scalene triangle.
Which statements are true about triangle XYZ? Select three options. - 1

Answers

Answer 1
Answer:

First, second and fourth options are true about triangle XYZ.

XY measures √(26) units.

YZ measures √(52) units.

ZX measures √(26) units.

XYZ is a right triangle.

What is right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given X (-1, 5), Y (4, 4), Z (-2, 0)

Distance between two points D = \sqrt{(x_(2)-x_(1)) ^(2) +(y_(2)-y_(1)) ^(2)}

|XY| = \sqrt{(4-5)^(2) +(4+1)^(2) } =\sqrt{1^(2)+5^(2) } =√(26)

|YZ| = \sqrt{(0-4)^(2) +(-2-4)^(2) } =\sqrt{4^(2)+6^(2) } =√(52)

|XZ| = \sqrt{(0-5)^(2) +(-2+1)^(2) } =\sqrt{5^(2)+1^(2) } =√(26)

|XY|^(2) +|XZ|^(2) =|YZ|^(2)

So, XYZ is a right triangle.

So, the first, second and fourth options are correct.

Find out more information about right triangle here

brainly.com/question/6322314

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Answer 2
Answer:

Answer: a and d

Step-by-step explanation:

edge

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GUESS!147 - One digit is right but in the
wrong place
189 - One digit is right and in its
Place
964- Two digits are correct but both
are in the wrong place
523 - All digits are wrong
286 - One digit is right but in the
wrong place
What
are
the three numbers !​

Answers

The three numbers are 6, 7 and 9

Explanation:

First of all exclude the numbers which aren't correct.

From the 4th data,We can conclude the digit 5, 2 and 3 are wrong.

Now,

  • 147 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 964 - Two digits are correct but at wrong place
  • 523 - All digits are wrong
  • 286 - One digit is right but in the wrong place

We've to find the three digits :

From case 4: 5, 2 and 3 are wrong

So, remove 5, 2 and 3 from all the cases

The numbers are:

  • 147 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 964 - Two digits are correct but at wrong place
  • _86 - one digit is right but in the wrong place

From 1st and 3rd we can say that: 4 is present in both the case but wrongly placed.

Now the digits become:

  • 1_7 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 96_ - Two digits are correct but at wrong place
  • _86 - one digit is right but in the wrong place

From 3rd and 4th case we can say that: 9 and 6 are correct but wrongly placed, 8 is not the number and 6 is placed at first

So, the two numbers of a 3 digit number are 6 and 9

From 2nd, 3rd and 4th case, the position of 6 and 9 are:

6  _  9

From 1st case, 7 is the digit but wrongly placed. So, the 3 digit number becomes:

6 7 9

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