To locate on a number line by drawing a right triangle

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

To locate 10\sqrt{10} on a number line by drawing a right triangle, which pair of integer lengths can be chosen as the two perpendicular sides so that the hypotenuse equals 10\sqrt{10}? (a) 2 units and 3 units2 \text{ units and } 3 \text{ units} (b) 2 units and 2 units2 \text{ units and } 2 \text{ units} (c) 1 unit and 3 units1 \text{ unit and } 3 \text{ units} (d) 3 units and 4 units3 \text{ units and } 4 \text{ units}

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