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Mar 27, 2024
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Practice Quiz Mode

Take all 4 MCQs in interactive quiz mode with timer and progress tracking

An isosceles right triangle has a hypotenuse of length $58$ inches. What is the perimeter, in inches, of this triangle?
Difficulty: Hard
A:

$29\sqrt{2}$

B:

$58\sqrt{2}$

C:

$58+58\sqrt{2}$

D:

$58+116\sqrt{2}$

Triangle $ABC$ and triangle $DEF$ are similar triangles, where $\overline{AB}$ and $\overline{DE}$ are corresponding sides. If $DE=2AB$ and the perimeter of triangle $ABC$ is $20$, what is the perimeter of triangle $DEF$?
Difficulty: Easy
A:

10

B:

40

C:

80

D:

120

In the $xy$-plane, the graph of $2x^{2}-6x+2y^{2}+2y=45$ is a circle. What is the radius of the circle?
Difficulty: Hard
A:

$5$

B:

$6.5$

C:

$\sqrt{40}$

D:

$\sqrt{50}$

An isosceles right triangle has a perimeter of $94+94\sqrt{2}$ inches. What is the length, in inches, of one leg of this triangle?
Difficulty: Hard
A:

$47$

B:

$47\sqrt{2}$

C:

$94$

D:

$94\sqrt{2}$

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