Angles, triangles, circles, a cylinder and two trigonometric ratios, every one of them stated completely in words: named vertices, a named right angle…
12 questions • Zestly
• In triangle ABC the right angle is at vertex C. Side AC measures $6$ units and side BC measures $8$ units. How long is the hypotenuse AB?
• Two parallel lines are crossed by a transversal, and one of the interior angles measures $70^\circ$. What is the measure of its…
• Triangle DEF is similar to triangle GHI, where vertex D corresponds to G, E to H, and F to I. If $DE = 4$, $GH = 8$, and $EF = 6$, what is…
• A rectangle measures $5$ units by $3$ units. Both of its dimensions are doubled. By what factor does its area increase?
• A circle has a radius of $4$ units, and a sector of it is cut off by a central angle of $90^\circ$. What is the area of that sector?
• In right triangle JKL the right angle is at vertex K, so JL is the hypotenuse. Which ratio of sides is $\sin(J)$?
• What is the distance between points $(1, 2)$ and $(4, 6)$ on the coordinate plane?
• Which set of three side lengths forms a right triangle?
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