Geometry and Trigonometry

Chief Editor

Mar 27, 2024

Take all 3 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

29\sqrt{2}

58\sqrt{2}

58+58\sqrt{2}

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

10

40

80

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

$5$

$6.5$

\sqrt{40}

\sqrt{50}