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saveliy_v [14]
3 years ago
11

The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Check all that apply.

Mathematics
2 answers:
Dominik [7]3 years ago
6 0

<u>Answer-</u>

  • YZ = 9 cm
  • XZ=9\sqrt2
  • XZ is the longest segment in triangle XYZ.

<u>Solution-</u>

Triangle XYZ is a right angle triangle with ∠Y=90°

Triangle XYZ is also an isosceles triangle, as

∠X =45°= ∠Z

Therefore, triangle XYZ is a right angle isosceles triangle.

So,

XY = YZ = 9 cm

Applying Pythagoras theorem,

\Rightarrow XZ^2=XY^2+YZ^2\\\\\Rightarrow XZ^2=9^2+9^2\\\\\Rightarrow XZ^2=2\times 9^2\\\\\Rightarrow XZ=\sqrt{2\times 9^2}=9\sqrt2

In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.


Anna11 [10]3 years ago
5 0

The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Check all that apply.

<span>YZ = 9 cm 

</span>XZ = 9√2cm
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