Special Right Triangles Answers

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3

Consider triangle GHJ.

Question illustration
A
5 units
B
units
Option B
C
10 units
D
units
Option D
5

Consider the incomplete paragraph proof.Given: Isosceles right triangle XYZ (45°–45°–90° triangle)Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.

Question illustration
S
Substitute values for a and c into the original Pythagorean theorem equation.
D
Divide both sides of the equation by two, then determine the principal square root of both sides of the equation.
D
Determine the principal square root of both sides of the equation.
D
Divide both sides of the equation by 2.
6

The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options.

A
YZ = 9 cm
B
XZ = 9 cm
C
XZ = cm
Option C
D
XZ = 2(XY)
E
YZ is the longest segment in △XYZ.

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