Lesson 2.9: Special Right Triangles Answers
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Which triangle is a 30°-60°-90° triangle?
A
A triangle has side lengths of 5, 10, and 5 StartRoot 3 EndRoot.
B
A triangle has side lengths of 5, 15, and 5 StartRoot 3 EndRoot.
C
A triangle has side lengths of 5, 10, and 10 StartRoot 3 EndRoot.
D
A triangle has side lengths of 10, 15, and 5 StartRoot 3 EndRoot
23
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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.
A
Substitute values for a and c into the original Pythagorean theorem equation.B
Divide both sides of the equation by two, then determine the principal square root of both sides of the equation.C
Determine the principal square root of both sides of the equation.D
Divide both sides of the equation by 2.24
A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.
A
6.5 ftB
ft
C
13 ftD
ft
25
Consider triangle DEF. The legs have a length of 36 units each.
A
18 unitsB
units
C
36 unitsD
units
26
The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
A
14 unitsB
units
C
18 unitsD
units
27
The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options.
A
YZ = 9 cmB
XZ = 9 cmC
XZ = cm
D
XZ = 2(XY)E
YZ is the longest segment in △XYZ.Did you find these answers helpful?
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